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385370832 = 243711127821
BaseRepresentation
bin10110111110000…
…100101011010000
3222212010212101210
4112332010223100
51242123331312
6102123500120
712356412060
oct2676045320
9885125353
10385370832
111885938a0
12a9087640
1361abb9a2
14392773a0
1523c73e3c
hex16f84ad0

385370832 has 160 divisors (see below), whose sum is σ = 1252491264. Its totient is φ = 99187200.

The previous prime is 385370803. The next prime is 385370833. The reversal of 385370832 is 238073583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385370833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468982 + ... + 469802.

Almost surely, 2385370832 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 385370832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626245632).

385370832 is an abundant number, since it is smaller than the sum of its proper divisors (867120432).

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

385370832 is a wasteful number, since it uses less digits than its factorization.

385370832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 385370832 is about 19630.8642703270. The cubic root of 385370832 is about 727.7121290684.

The spelling of 385370832 in words is "three hundred eighty-five million, three hundred seventy thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 127 132 154 168 176 231 254 264 308 336 381 462 508 528 616 762 821 889 924 1016 1232 1397 1524 1642 1778 1848 2032 2463 2667 2794 3048 3284 3556 3696 4191 4926 5334 5588 5747 6096 6568 7112 8382 9031 9779 9852 10668 11176 11494 13136 14224 16764 17241 18062 19558 19704 21336 22352 22988 27093 29337 33528 34482 36124 39116 39408 42672 45976 54186 58674 63217 67056 68964 72248 78232 91952 104267 108372 117348 126434 137928 144496 156464 189651 208534 216744 234696 252868 275856 312801 379302 417068 433488 469392 505736 625602 729869 758604 834136 1011472 1146937 1251204 1459738 1517208 1668272 2189607 2293874 2502408 2919476 3034416 3440811 4379214 4587748 5004816 5838952 6881622 8028559 8758428 9175496 11677904 13763244 16057118 17516856 18350992 24085677 27526488 32114236 35033712 48171354 55052976 64228472 96342708 128456944 192685416 385370832