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385016076 = 2232194113729
BaseRepresentation
bin10110111100101…
…110000100001100
3222211110211202200
4112330232010030
51242031003301
6102112121500
712353403564
oct2674560414
9884424680
10385016076
11188371305
12a8b36290
13619c6383
14391c3da4
1523c03c86
hex16f2e10c

385016076 has 72 divisors (see below), whose sum is σ = 1049521200. Its totient is φ = 118609920.

The previous prime is 385016039. The next prime is 385016077. The reversal of 385016076 is 670610583.

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

It is a self number, because there is not a number n which added to its sum of digits gives 385016076.

It is not an unprimeable number, because it can be changed into a prime (385016077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21180 + ... + 34908.

Almost surely, 2385016076 is an apocalyptic number.

385016076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385016076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524760600).

385016076 is an abundant number, since it is smaller than the sum of its proper divisors (664505124).

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

385016076 is a wasteful number, since it uses less digits than its factorization.

385016076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13794 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 385016076 is about 19621.8265204848. The cubic root of 385016076 is about 727.4887602331.

The spelling of 385016076 in words is "three hundred eighty-five million, sixteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 492 684 738 779 1476 1558 2337 3116 4674 7011 9348 13729 14022 27458 28044 41187 54916 82374 123561 164748 247122 260851 494244 521702 562889 782553 1043404 1125778 1565106 1688667 2251556 2347659 3130212 3377334 4695318 5066001 6754668 9390636 10132002 10694891 20264004 21389782 32084673 42779564 64169346 96254019 128338692 192508038 385016076