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3412745760 = 25357109887
BaseRepresentation
bin1100101101101010…
…0101111000100000
322210211200110002010
43023122211320200
523442130331020
61322350552520
7150366601044
oct31332457040
98724613063
103412745760
1114a1451446
127b2b08740
134250693b8
14245368024
1514e923de0
hexcb6a5e20

3412745760 has 48 divisors (see below), whose sum is σ = 10750150656. Its totient is φ = 910065408.

The previous prime is 3412745759. The next prime is 3412745771. The reversal of 3412745760 is 675472143.

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, 3554464 + ... + 3555423.

It is an arithmetic number, because the mean of its divisors is an integer number (223961472).

Almost surely, 23412745760 is an apocalyptic number.

3412745760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412745760 is an abundant number, since it is smaller than the sum of its proper divisors (7337404896).

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

3412745760 is a wasteful number, since it uses less digits than its factorization.

3412745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7109905 (or 7109897 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 3412745760 is about 58418.7107012813. The cubic root of 3412745760 is about 1505.5712463024.

The spelling of 3412745760 in words is "three billion, four hundred twelve million, seven hundred forty-five thousand, seven hundred sixty".

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 7109887 14219774 21329661 28439548 35549435 42659322 56879096 71098870 85318644 106648305 113758192 142197740 170637288 213296610 227516384 284395480 341274576 426593220 568790960 682549152 853186440 1137581920 1706372880 3412745760