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385102332 = 22326722383
BaseRepresentation
bin10110111101000…
…011000111111100
3222211122020002100
4112331003013330
51242041233312
6102114025100
712354213216
oct2675030774
9884566070
10385102332
1118842009a
12a8b78190
1361a26704
14392075b6
1523c1e5dc
hex16f431fc

385102332 has 54 divisors (see below), whose sum is σ = 988613808. Its totient is φ = 126398448.

The previous prime is 385102303. The next prime is 385102337. The reversal of 385102332 is 233201583.

It is a super-2 number, since 2×3851023322 = 296607612223676448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385102296 and 385102305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385102337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 160413 + ... + 162795.

Almost surely, 2385102332 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 385102332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494306904).

385102332 is an abundant number, since it is smaller than the sum of its proper divisors (603511476).

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

385102332 is a wasteful number, since it uses less digits than its factorization.

385102332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 385102332 is about 19624.0243579139. The cubic root of 385102332 is about 727.5430831466.

The spelling of 385102332 in words is "three hundred eighty-five million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2383 2412 4489 4766 7149 8978 9532 13467 14298 17956 21447 26934 28596 40401 42894 53868 80802 85788 159661 161604 319322 478983 638644 957966 1436949 1915932 2873898 5747796 10697287 21394574 32091861 42789148 64183722 96275583 128367444 192551166 385102332