Search a number
-
+
2343553104 = 2432947113317
BaseRepresentation
bin1000101110101111…
…1100100001010000
320001022210211111010
42023223330201100
514244422144404
61024314250520
7112034605224
oct21353744120
96038724433
102343553104
11aa2969152
12554a26a40
132b46b4019
14183368784
15dab26189
hex8bafc850

2343553104 has 160 divisors (see below), whose sum is σ = 6473157120. Its totient is φ = 729358336.

The previous prime is 2343553103. The next prime is 2343553109. The reversal of 2343553104 is 4013553432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343553103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7392754 + ... + 7393070.

It is an arithmetic number, because the mean of its divisors is an integer number (40457232).

Almost surely, 22343553104 is an apocalyptic number.

2343553104 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 2343553104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236578560).

2343553104 is an abundant number, since it is smaller than the sum of its proper divisors (4129604016).

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

2343553104 is a wasteful number, since it uses less digits than its factorization.

2343553104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2343553104 is about 48410.2582517383. The cubic root of 2343553104 is about 1328.2860134194.

The spelling of 2343553104 in words is "two billion, three hundred forty-three million, five hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 47 48 58 87 94 113 116 141 174 188 226 232 282 317 339 348 376 452 464 564 634 678 696 752 904 951 1128 1268 1356 1363 1392 1808 1902 2256 2536 2712 2726 3277 3804 4089 5072 5311 5424 5452 6554 7608 8178 9193 9831 10622 10904 13108 14899 15216 15933 16356 18386 19662 21244 21808 26216 27579 29798 31866 32712 35821 36772 39324 42488 44697 52432 55158 59596 63732 65424 71642 73544 78648 84976 89394 107463 110316 119192 127464 143284 147088 154019 157296 178788 214926 220632 238384 254928 286568 308038 357576 429852 432071 441264 462057 573136 616076 715152 859704 864142 924114 1038809 1232152 1296213 1683587 1719408 1728284 1848228 2077618 2464304 2592426 3116427 3367174 3456568 3696456 4155236 5050761 5184852 6232854 6734348 6913136 7392912 8310472 10101522 10369704 12465708 13468696 16620944 20203044 20739408 24931416 26937392 40406088 48824023 49862832 80812176 97648046 146472069 195296092 292944138 390592184 585888276 781184368 1171776552 2343553104