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3880601640 = 2332526574057
BaseRepresentation
bin1110011101001101…
…0100100000101000
3101000110000222200200
43213103110200220
530421413223030
61441022432200
7165110366256
oct34723244050
911013028620
103880601640
1117115534a3
12903732660
1349ac785b6
1428b5535d6
1517aa3cd60
hexe74d4828

3880601640 has 96 divisors (see below), whose sum is σ = 12619811880. Its totient is φ = 1034182656.

The previous prime is 3880601639. The next prime is 3880601663. The reversal of 3880601640 is 461060883.

It is a happy number.

3880601640 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 6 + 0 + 1 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3346159716 + 534441924 = 57846^2 + 23118^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3880601595 and 3880601604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954492 + ... + 958548.

Almost surely, 23880601640 is an apocalyptic number.

3880601640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3880601640 is an abundant number, since it is smaller than the sum of its proper divisors (8739210240).

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

3880601640 is a wasteful number, since it uses less digits than its factorization.

3880601640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3880601640 is about 62294.4751964410. The cubic root of 3880601640 is about 1571.4468169940.

The spelling of 3880601640 in words is "three billion, eight hundred eighty million, six hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2657 4057 5314 7971 8114 10628 12171 13285 15942 16228 20285 21256 23913 24342 26570 31884 32456 36513 39855 40570 47826 48684 53140 60855 63768 73026 79710 81140 95652 97368 106280 119565 121710 146052 159420 162280 182565 191304 239130 243420 292104 318840 365130 478260 486840 730260 956520 1460520 10779449 21558898 32338347 43117796 53897245 64676694 86235592 97015041 107794490 129353388 161691735 194030082 215588980 258706776 323383470 388060164 431177960 485075205 646766940 776120328 970150410 1293533880 1940300820 3880601640