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3414442960 = 24557174747
BaseRepresentation
bin1100101110000100…
…0100001111010000
322210221212200012101
43023201010033100
523443044133320
61322451210144
7150420200125
oct31341041720
98727780171
103414442960
1114a2400595
127b35a6954
13425511a66
1424568a74c
1514eb5bc0a
hexcb8443d0

3414442960 has 40 divisors (see below), whose sum is σ = 7952589216. Its totient is φ = 1363367040.

The previous prime is 3414442957. The next prime is 3414443003. The reversal of 3414442960 is 692444143.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8307 + ... + 83053.

Almost surely, 23414442960 is an apocalyptic number.

It is an amenable number.

3414442960 is an abundant number, since it is smaller than the sum of its proper divisors (4538146256).

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

3414442960 is a wasteful number, since it uses less digits than its factorization.

3414442960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75331 (or 75325 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 3414442960 is about 58433.2350636177. The cubic root of 3414442960 is about 1505.8207845754.

The spelling of 3414442960 in words is "three billion, four hundred fourteen million, four hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 571 1142 2284 2855 4568 5710 9136 11420 22840 45680 74747 149494 298988 373735 597976 747470 1195952 1494940 2989880 5979760 42680537 85361074 170722148 213402685 341444296 426805370 682888592 853610740 1707221480 3414442960