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330138816 = 2637245639
BaseRepresentation
bin10011101011011…
…000010011000000
3212000012210022120
4103223120103000
51134003420231
652432004240
711116063560
oct2353302300
9760183276
10330138816
1115a39a1a7
1292690680
1353521017
1431bbada0
151deb3d96
hex13ad84c0

330138816 has 56 divisors (see below), whose sum is σ = 998280960. Its totient is φ = 94324992.

The previous prime is 330138769. The next prime is 330138869. The reversal of 330138816 is 618831033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121476 + ... + 124163.

Almost surely, 2330138816 is an apocalyptic number.

It is an amenable number.

330138816 is an abundant number, since it is smaller than the sum of its proper divisors (668142144).

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

330138816 is a wasteful number, since it uses less digits than its factorization.

330138816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245661 (or 245651 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 330138816 is about 18169.7225075123. The cubic root of 330138816 is about 691.1392061157.

Adding to 330138816 its reverse (618831033), we get a palindrome (948969849).

The spelling of 330138816 in words is "three hundred thirty million, one hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 245639 491278 736917 982556 1473834 1719473 1965112 2947668 3438946 3930224 5158419 5895336 6877892 7860448 10316838 11790672 13755784 15720896 20633676 23581344 27511568 41267352 47162688 55023136 82534704 110046272 165069408 330138816