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336890016 = 2534235651
BaseRepresentation
bin10100000101001…
…000100010100000
3212110220210020000
4110011020202200
51142220440031
653232420000
711230342431
oct2405104240
9773823200
10336890016
11163190501
12949a7600
1354a45c08
1432a57488
151e8993e6
hex141488a0

336890016 has 120 divisors (see below), whose sum is σ = 1034044704. Its totient is φ = 107395200.

The previous prime is 336890011. The next prime is 336890023. The reversal of 336890016 is 610098633.

It is a happy number.

It is a super-2 number, since 2×3368900162 = 226989765760960512, 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 (336890011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56791 + ... + 62441.

Almost surely, 2336890016 is an apocalyptic number.

336890016 is a gapful number since it is divisible by the number (36) 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 336890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517022352).

336890016 is an abundant number, since it is smaller than the sum of its proper divisors (697154688).

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

336890016 is a wasteful number, since it uses less digits than its factorization.

336890016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 336890016 is about 18354.5639011119. The cubic root of 336890016 is about 695.8186209884.

The spelling of 336890016 in words is "three hundred thirty-six million, eight hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 5651 6624 7452 9936 11302 14904 16953 19872 22604 29808 33906 45208 50859 59616 67812 90416 101718 129973 135624 152577 180832 203436 259946 271248 305154 389919 406872 457731 519892 542496 610308 779838 813744 915462 1039784 1169757 1220616 1559676 1627488 1830924 2079568 2339514 2441232 3119352 3509271 3661848 4159136 4679028 4882464 6238704 7018542 7323696 9358056 10527813 12477408 14037084 14647392 18716112 21055626 28074168 37432224 42111252 56148336 84222504 112296672 168445008 336890016