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385076616 = 233291673313
BaseRepresentation
bin10110111100111…
…100110110001000
3222211120220210220
4112330330312020
51242034422431
6102113310040
712354045231
oct2674746610
9884526726
10385076616
11188402841
12a8b65320
1361a17ab2
14391dc088
1523c16b96
hex16f3cd88

385076616 has 64 divisors (see below), whose sum is σ = 1002153600. Its totient is φ = 123153408.

The previous prime is 385076599. The next prime is 385076647. The reversal of 385076616 is 616670583.

It is a super-2 number, since 2×3850766162 = 296568000380022912, which contains 22 as substring.

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, 114576 + ... + 117888.

It is an arithmetic number, because the mean of its divisors is an integer number (15658650).

Almost surely, 2385076616 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 385076616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501076800).

385076616 is an abundant number, since it is smaller than the sum of its proper divisors (617076984).

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

385076616 is a wasteful number, since it uses less digits than its factorization.

385076616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 385076616 is about 19623.3691296882. The cubic root of 385076616 is about 727.5268883911.

The spelling of 385076616 in words is "three hundred eighty-five million, seventy-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 167 174 232 334 348 501 668 696 1002 1336 2004 3313 4008 4843 6626 9686 9939 13252 14529 19372 19878 26504 29058 38744 39756 58116 79512 96077 116232 192154 288231 384308 553271 576462 768616 1106542 1152924 1659813 2213084 2305848 3319626 4426168 6639252 13278504 16044859 32089718 48134577 64179436 96269154 128358872 192538308 385076616