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3115376320 = 26573737589
BaseRepresentation
bin1011100110110000…
…1101111011000000
322001010010111220011
42321230031323000
522340014020240
61233045154304
7140126155540
oct27154157300
98033114804
103115376320
111359604381
1272b3bb994
133a857ca54
14217a7b320
151337846ea
hexb9b0dec0

3115376320 has 112 divisors (see below), whose sum is σ = 8707648320. Its totient is φ = 1039233024.

The previous prime is 3115376309. The next prime is 3115376333. The reversal of 3115376320 is 236735113.

3115376320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64086 + ... + 101674.

It is an arithmetic number, because the mean of its divisors is an integer number (77746860).

Almost surely, 23115376320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3115376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353824160).

3115376320 is an abundant number, since it is smaller than the sum of its proper divisors (5592272000).

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

3115376320 is a wasteful number, since it uses less digits than its factorization.

3115376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37650 (or 37640 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 3115376320 is about 55815.5562545067. The cubic root of 3115376320 is about 1460.5065359441.

The spelling of 3115376320 in words is "three billion, one hundred fifteen million, three hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 224 259 280 296 320 370 448 518 560 592 740 1036 1120 1184 1295 1480 2072 2240 2368 2590 2960 4144 5180 5920 8288 10360 11840 16576 20720 37589 41440 75178 82880 150356 187945 263123 300712 375890 526246 601424 751780 1052492 1202848 1315615 1390793 1503560 2104984 2405696 2631230 2781586 3007120 4209968 5262460 5563172 6014240 6953965 8419936 9735551 10524920 11126344 12028480 13907930 16839872 19471102 21049840 22252688 27815860 38942204 42099680 44505376 48677755 55631720 77884408 84199360 89010752 97355510 111263440 155768816 194711020 222526880 311537632 389422040 445053760 623075264 778844080 1557688160 3115376320