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3416407407 = 32754228689
BaseRepresentation
bin1100101110100010…
…0011110101101111
322211002120110220200
43023220203311233
523444100014112
61323001244543
7150442661310
oct31350436557
98732513820
103416407407
1114a35224a6
127b4193753
13425a4bc5a
14245a3c607
1514ede8cdc
hexcba23d6f

3416407407 has 12 divisors (see below), whose sum is σ = 5639783760. Its totient is φ = 1952232768.

The previous prime is 3416407403. The next prime is 3416407433. The reversal of 3416407407 is 7047046143.

It is a happy number.

3416407407 is a `hidden beast` number, since 3 + 4 + 1 + 640 + 7 + 4 + 0 + 7 = 666.

It is not a de Polignac number, because 3416407407 - 22 = 3416407403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416407403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27114282 + ... + 27114407.

It is an arithmetic number, because the mean of its divisors is an integer number (469981980).

Almost surely, 23416407407 is an apocalyptic number.

3416407407 is a deficient number, since it is larger than the sum of its proper divisors (2223376353).

3416407407 is a wasteful number, since it uses less digits than its factorization.

3416407407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54228702 (or 54228699 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3416407407 is about 58450.0419760328. The cubic root of 3416407407 is about 1506.1095127846.

The spelling of 3416407407 in words is "three billion, four hundred sixteen million, four hundred seven thousand, four hundred seven".

Divisors: 1 3 7 9 21 63 54228689 162686067 379600823 488058201 1138802469 3416407407