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342115616 = 25172337739
BaseRepresentation
bin10100011001000…
…100010100100000
3212211202021101202
4110121010110200
51200040144431
653540420332
711322635423
oct2431042440
9784667352
10342115616
1116612a587
12966a76a8
1355b5559b
14336179ba
152007c8cb
hex14644520

342115616 has 96 divisors (see below), whose sum is σ = 765313920. Its totient is φ = 149630976.

The previous prime is 342115607. The next prime is 342115643. The reversal of 342115616 is 616511243.

It is a happy number.

It is a super-2 number, since 2×3421156162 = 234086189422118912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462575 + ... + 463313.

It is an arithmetic number, because the mean of its divisors is an integer number (7972020).

Almost surely, 2342115616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342115616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382656960).

342115616 is an abundant number, since it is smaller than the sum of its proper divisors (423198304).

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

342115616 is a wasteful number, since it uses less digits than its factorization.

342115616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 342115616 is about 18496.3676434050. The cubic root of 342115616 is about 699.3978604197.

Adding to 342115616 its reverse (616511243), we get a palindrome (958626859).

The spelling of 342115616 in words is "three hundred forty-two million, one hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 23 32 34 37 46 68 74 92 136 148 184 272 296 368 391 544 592 629 736 739 782 851 1184 1258 1478 1564 1702 2516 2956 3128 3404 5032 5912 6256 6808 10064 11824 12512 12563 13616 14467 16997 20128 23648 25126 27232 27343 28934 33994 50252 54686 57868 67988 100504 109372 115736 135976 201008 218744 231472 271952 288949 402016 437488 462944 464831 543904 577898 628889 874976 929662 1155796 1257778 1859324 2311592 2515556 3718648 4623184 5031112 7437296 9246368 10062224 10691113 14874592 20124448 21382226 42764452 85528904 171057808 342115616