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385958352 = 243132932111
BaseRepresentation
bin10111000000010…
…100000111010000
3222220020201022210
4113000110013100
51242301131402
6102144232120
712364410003
oct2700240720
9886221283
10385958352
1118895524a
12a930b640
1361c66230
143938b53a
1523d3d06c
hex170141d0

385958352 has 80 divisors (see below), whose sum is σ = 1077931008. Its totient is φ = 118295040.

The previous prime is 385958351. The next prime is 385958413. The reversal of 385958352 is 253859583.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385958351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181777 + ... + 183887.

Almost surely, 2385958352 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 385958352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538965504).

385958352 is an abundant number, since it is smaller than the sum of its proper divisors (691972656).

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

385958352 is a wasteful number, since it uses less digits than its factorization.

385958352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2422 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The square root of 385958352 is about 19645.8227621039. The cubic root of 385958352 is about 728.0817542933.

The spelling of 385958352 in words is "three hundred eighty-five million, nine hundred fifty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 293 312 586 624 879 1172 1758 2111 2344 3516 3809 4222 4688 6333 7032 7618 8444 11427 12666 14064 15236 16888 22854 25332 27443 30472 33776 45708 50664 54886 60944 82329 91416 101328 109772 164658 182832 219544 329316 439088 618523 658632 1237046 1317264 1855569 2474092 3711138 4948184 7422276 8040799 9896368 14844552 16081598 24122397 29689104 32163196 48244794 64326392 96489588 128652784 192979176 385958352