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3414931961 = 72257271177
BaseRepresentation
bin1100101110001011…
…1011100111111001
322210222210111222112
43023202323213321
523443210310321
61322505502105
7150424304600
oct31342734771
98728714875
103414931961
1114a2704a21
127b37a1935
134256534cc
14245776a37
1514ec06a5b
hexcb8bb9f9

3414931961 has 12 divisors (see below), whose sum is σ = 3987943668. Its totient is φ = 2915684352.

The previous prime is 3414931939. The next prime is 3414931979. The reversal of 3414931961 is 1691394143.

It can be written as a sum of positive squares in 2 ways, for example, as 3083691961 + 331240000 = 55531^2 + 18200^2 .

It is not a de Polignac number, because 3414931961 - 222 = 3410737657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3414931991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122996 + ... + 148181.

It is an arithmetic number, because the mean of its divisors is an integer number (332328639).

Almost surely, 23414931961 is an apocalyptic number.

It is an amenable number.

3414931961 is a deficient number, since it is larger than the sum of its proper divisors (573011707).

3414931961 is a wasteful number, since it uses less digits than its factorization.

3414931961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271448 (or 271441 counting only the distinct ones).

The product of its digits is 69984, while the sum is 41.

The square root of 3414931961 is about 58437.4191849709. The cubic root of 3414931961 is about 1505.8926667466.

The spelling of 3414931961 in words is "three billion, four hundred fourteen million, nine hundred thirty-one thousand, nine hundred sixty-one".

Divisors: 1 7 49 257 1799 12593 271177 1898239 13287673 69692489 487847423 3414931961