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3414037116 = 2237194349747
BaseRepresentation
bin1100101101111110…
…0001001001111100
322210221010001111010
43023133201021330
523442443141431
61322434355220
7150413556660
oct31337411174
98727101433
103414037116
1114a2153686
127b342bb10
134253cc109
142455c28a0
1514eacb846
hexcb7e127c

3414037116 has 96 divisors (see below), whose sum is σ = 9806325760. Its totient is φ = 902591424.

The previous prime is 3414037079. The next prime is 3414037117. The reversal of 3414037116 is 6117304143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414037117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43755 + ... + 93501.

Almost surely, 23414037116 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 3414037116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903162880).

3414037116 is an abundant number, since it is smaller than the sum of its proper divisors (6392288644).

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

3414037116 is a wasteful number, since it uses less digits than its factorization.

3414037116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49823 (or 49821 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3414037116 is about 58429.7622449382. The cubic root of 3414037116 is about 1505.7611211054.

The spelling of 3414037116 in words is "three billion, four hundred fourteen million, thirty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 43 57 76 84 86 114 129 133 172 228 258 266 301 399 516 532 602 798 817 903 1204 1596 1634 1806 2451 3268 3612 4902 5719 9804 11438 17157 22876 34314 49747 68628 99494 149241 198988 298482 348229 596964 696458 945193 1044687 1392916 1890386 2089374 2139121 2835579 3780772 4178748 4278242 5671158 6417363 6616351 8556484 11342316 12834726 13232702 14973847 19849053 25669452 26465404 29947694 39698106 40643299 44921541 59895388 79396212 81286598 89843082 121929897 162573196 179686164 243859794 284503093 487719588 569006186 853509279 1138012372 1707018558 3414037116