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3416057676 = 223294890491
BaseRepresentation
bin1100101110011100…
…1110011101001100
322211001220201011200
43023213032131030
523444002321201
61322545545500
7150440003553
oct31347163514
98731821150
103416057676
1114a3303769
127b4045290
13425958a05
1424598ad9a
1514ed7a386
hexcb9ce74c

3416057676 has 18 divisors (see below), whose sum is σ = 8635034772. Its totient is φ = 1138685880.

The previous prime is 3416057669. The next prime is 3416057683. The reversal of 3416057676 is 6767506143.

3416057676 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 0 + 576 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (3416057669) and next prime (3416057683).

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47445210 + ... + 47445281.

It is an arithmetic number, because the mean of its divisors is an integer number (479724154).

Almost surely, 23416057676 is an apocalyptic number.

3416057676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3416057676 is an abundant number, since it is smaller than the sum of its proper divisors (5218977096).

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

3416057676 is a wasteful number, since it uses less digits than its factorization.

3416057676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94890501 (or 94890496 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3416057676 is about 58447.0501907496. The cubic root of 3416057676 is about 1506.0581185277.

It can be divided in two parts, 341605 and 7676, that added together give a square (349281 = 5912).

The spelling of 3416057676 in words is "three billion, four hundred sixteen million, fifty-seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 94890491 189780982 284671473 379561964 569342946 854014419 1138685892 1708028838 3416057676