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334688816 = 2472111972
BaseRepresentation
bin10011111100101…
…111001000110000
3212022202221202002
4103330233020300
51141140020231
653113313132
711202544100
oct2374571060
9768687662
10334688816
11161a17730
12941057a8
1354455027
1432643200
151e5b20cb
hex13f2f230

334688816 has 90 divisors (see below), whose sum is σ = 827104428. Its totient is φ = 129736320.

The previous prime is 334688789. The next prime is 334688821. The reversal of 334688816 is 618886433.

It is a super-2 number, since 2×3346888162 = 224033207110963712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1698830 + ... + 1699026.

Almost surely, 2334688816 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 334688816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413552214).

334688816 is an abundant number, since it is smaller than the sum of its proper divisors (492415612).

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

334688816 is a wasteful number, since it uses less digits than its factorization.

334688816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 217 counting only the distinct ones).

The product of its digits is 663552, while the sum is 47.

The square root of 334688816 is about 18294.5023436004. The cubic root of 334688816 is about 694.2998424742.

The spelling of 334688816 in words is "three hundred thirty-four million, six hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 197 308 392 394 539 616 784 788 1078 1232 1379 1576 2156 2167 2758 3152 4312 4334 5516 8624 8668 9653 11032 15169 17336 19306 22064 30338 34672 38612 38809 60676 77224 77618 106183 121352 154448 155236 212366 242704 271663 310472 424732 426899 543326 620944 849464 853798 1086652 1698928 1707596 1901641 2173304 2988293 3415192 3803282 4346608 5976586 6830384 7606564 11953172 15213128 20918051 23906344 30426256 41836102 47812688 83672204 167344408 334688816