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3945321960 = 2335151217733
BaseRepresentation
bin1110101100101000…
…1101010111101000
3101011221211010021120
43223022031113220
531040000300320
61451253535240
7166524453246
oct35312152750
911157733246
103945321960
111745038868
12921344520
134ab4b8c48
14295d9d796
15181574440
hexeb28d5e8

3945321960 has 64 divisors (see below), whose sum is σ = 11914404480. Its totient is φ = 1045113600.

The previous prime is 3945321901. The next prime is 3945321967. The reversal of 3945321960 is 691235493.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3945321967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90747 + ... + 126986.

It is an arithmetic number, because the mean of its divisors is an integer number (186162570).

Almost surely, 23945321960 is an apocalyptic number.

3945321960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3945321960 is an abundant number, since it is smaller than the sum of its proper divisors (7969082520).

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

3945321960 is a wasteful number, since it uses less digits than its factorization.

3945321960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217898 (or 217894 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 3945321960 is about 62811.7979363750. The cubic root of 3945321960 is about 1580.1348440168.

The spelling of 3945321960 in words is "three billion, nine hundred forty-five million, three hundred twenty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 9060 18120 217733 435466 653199 870932 1088665 1306398 1741864 2177330 2612796 3265995 4354660 5225592 6531990 8709320 13063980 26127960 32877683 65755366 98633049 131510732 164388415 197266098 263021464 328776830 394532196 493165245 657553660 789064392 986330490 1315107320 1972660980 3945321960