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232734545904 = 24374677971861
BaseRepresentation
bin1101100011000000001…
…1110101011111110000
3211020201200002220122110
43120300003311133300
512303120020432104
6254530005005320
722546243666620
oct3306003653760
9736650086573
10232734545904
118a77a647023
12391323b3840
1318c400a4b73
14b39b792880
1560c21a8e89
hex36300f57f0

232734545904 has 160 divisors (see below), whose sum is σ = 689826848256. Its totient is φ = 66234332160.

The previous prime is 232734545893. The next prime is 232734545909. The reversal of 232734545904 is 409545437232.

232734545904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232734545909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125057934 + ... + 125059794.

Almost surely, 2232734545904 is an apocalyptic number.

232734545904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232734545904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344913424128).

232734545904 is an abundant number, since it is smaller than the sum of its proper divisors (457092302352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232734545904 is a wasteful number, since it uses less digits than its factorization.

232734545904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 232734545904 in words is "two hundred thirty-two billion, seven hundred thirty-four million, five hundred forty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 467 797 934 1401 1594 1861 1868 2391 2802 3188 3269 3722 3736 4782 5579 5583 5604 6376 6538 7444 7472 9564 9807 11158 11166 11208 12752 13027 13076 14888 16737 19128 19614 22316 22332 22416 26054 26152 29776 33474 38256 39081 39228 44632 44664 52108 52304 66948 78162 78456 89264 89328 104216 133896 156324 156912 208432 267792 312648 372199 625296 744398 869087 1116597 1483217 1488796 1738174 2233194 2605393 2607261 2966434 2977592 3476348 4449651 4466388 5210786 5214522 5932868 5955184 6083609 6952696 7816179 8899302 8932776 10382519 10421572 10429044 11865736 12167218 13905392 15632358 17798604 17865552 18250827 20765038 20843144 20858088 23731472 24334436 31147557 31264716 35597208 36501654 41530076 41686288 41716176 48668872 62295114 62529432 71194416 73003308 83060152 97337744 124590228 125058864 146006616 166120304 249180456 292013232 498360912 692662339 1385324678 2077987017 2770649356 4155974034 4848636373 5541298712 8311948068 9697272746 11082597424 14545909119 16623896136 19394545492 29091818238 33247792272 38789090984 58183636476 77578181968 116367272952 232734545904