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334265472 = 2732290161
BaseRepresentation
bin10011111011000…
…111110010000000
3212021222110000200
4103323013302000
51141032443342
653100245200
711166131622
oct2373076200
9767873020
10334265472
11161758662
1293b40800
1354337428
1432572c12
151e52b94c
hex13ec7c80

334265472 has 48 divisors (see below), whose sum is σ = 961887030. Its totient is φ = 111421440.

The previous prime is 334265443. The next prime is 334265473. The reversal of 334265472 is 274562433.

It can be written as a sum of positive squares in only one way, i.e., 323136576 + 11128896 = 17976^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3342654722 = 223466811542765568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (334265473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143929 + ... + 146232.

Almost surely, 2334265472 is an apocalyptic number.

334265472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

334265472 is an abundant number, since it is smaller than the sum of its proper divisors (627621558).

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

334265472 is a wasteful number, since it uses less digits than its factorization.

334265472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290181 (or 290166 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 334265472 is about 18282.9284306426. The cubic root of 334265472 is about 694.0069816892.

The spelling of 334265472 in words is "three hundred thirty-four million, two hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 290161 580322 870483 1160644 1740966 2321288 2611449 3481932 4642576 5222898 6963864 9285152 10445796 13927728 18570304 20891592 27855456 37140608 41783184 55710912 83566368 111421824 167132736 334265472