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3140564640 = 25356542843
BaseRepresentation
bin1011101100110001…
…0011011010100000
322002212112012202220
42323030103122200
522412441032030
61235345111040
7140553234063
oct27314233240
98085465686
103140564640
111371848774
12737928480
133b085b895
1421b1568da
15135aaca10
hexbb3136a0

3140564640 has 48 divisors (see below), whose sum is σ = 9892780128. Its totient is φ = 837483776.

The previous prime is 3140564629. The next prime is 3140564653. The reversal of 3140564640 is 464650413.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3270942 + ... + 3271901.

It is an arithmetic number, because the mean of its divisors is an integer number (206099586).

Almost surely, 23140564640 is an apocalyptic number.

3140564640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3140564640 is an abundant number, since it is smaller than the sum of its proper divisors (6752215488).

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

3140564640 is a wasteful number, since it uses less digits than its factorization.

3140564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542861 (or 6542853 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3140564640 is about 56040.7408944600. The cubic root of 3140564640 is about 1464.4321188512.

The spelling of 3140564640 in words is "three billion, one hundred forty million, five hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6542843 13085686 19628529 26171372 32714215 39257058 52342744 65428430 78514116 98142645 104685488 130856860 157028232 196285290 209370976 261713720 314056464 392570580 523427440 628112928 785141160 1046854880 1570282320 3140564640