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342514440 = 23335833821
BaseRepresentation
bin10100011010100…
…101101100001000
3212212111112111000
4110122211230020
51200140430230
653553135000
711326216242
oct2432455410
9785445430
10342514440
11166382194
129685a460
1355c64c88
14336bd092
152010ab60
hex146a5b08

342514440 has 128 divisors (see below), whose sum is σ = 1155772800. Its totient is φ = 90213120.

The previous prime is 342514433. The next prime is 342514441. The reversal of 342514440 is 44415243.

It is a happy number.

It is a super-2 number, since 2×3425144402 = 234632283217027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (342514441) 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, 87730 + ... + 91550.

It is an arithmetic number, because the mean of its divisors is an integer number (9029475).

Almost surely, 2342514440 is an apocalyptic number.

342514440 is a gapful number since it is divisible by the number (30) 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 342514440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

342514440 is an abundant number, since it is smaller than the sum of its proper divisors (813258360).

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

342514440 is a wasteful number, since it uses less digits than its factorization.

342514440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 342514440 is about 18507.1456470197. The cubic root of 342514440 is about 699.6695310855.

Adding to 342514440 its reverse (44415243), we get a palindrome (386929683).

The spelling of 342514440 in words is "three hundred forty-two million, five hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 83 90 108 120 135 166 180 216 249 270 332 360 415 498 540 664 747 830 996 1080 1245 1494 1660 1992 2241 2490 2988 3320 3735 3821 4482 4980 5976 7470 7642 8964 9960 11205 11463 14940 15284 17928 19105 22410 22926 29880 30568 34389 38210 44820 45852 57315 68778 76420 89640 91704 103167 114630 137556 152840 171945 206334 229260 275112 317143 343890 412668 458520 515835 634286 687780 825336 951429 1031670 1268572 1375560 1585715 1902858 2063340 2537144 2854287 3171430 3805716 4126680 4757145 5708574 6342860 7611432 8562861 9514290 11417148 12685720 14271435 17125722 19028580 22834296 28542870 34251444 38057160 42814305 57085740 68502888 85628610 114171480 171257220 342514440