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3457334916 = 2232797141439
BaseRepresentation
bin1100111000010010…
…1011111010000100
322220221120210220100
43032010223322010
524040034204131
61331022404100
7151450601430
oct31604537204
98827523810
103457334916
111514636992
12805a30630
1343137ba09
1424b2539c0
151537d07e6
hexce12be84

3457334916 has 72 divisors (see below), whose sum is σ = 10090895360. Its totient is φ = 977619456.

The previous prime is 3457334911. The next prime is 3457334971. The reversal of 3457334916 is 6194337543.

3457334916 is a `hidden beast` number, since 34 + 573 + 3 + 49 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3457334911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46276 + ... + 95163.

Almost surely, 23457334916 is an apocalyptic number.

3457334916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3457334916 is an abundant number, since it is smaller than the sum of its proper divisors (6633560444).

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

3457334916 is a wasteful number, since it uses less digits than its factorization.

3457334916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141553 (or 141548 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3457334916 is about 58799.1064217816. The cubic root of 3457334916 is about 1512.0998978676.

The spelling of 3457334916 in words is "three billion, four hundred fifty-seven million, three hundred thirty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1746 2037 2716 3492 4074 6111 8148 12222 24444 141439 282878 424317 565756 848634 990073 1272951 1697268 1980146 2545902 2970219 3960292 5091804 5940438 8910657 11880876 13719583 17821314 27439166 35642628 41158749 54878332 82317498 96037081 123476247 164634996 192074162 246952494 288111243 384148324 493904988 576222486 864333729 1152444972 1728667458 3457334916