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385329348 = 223219613919
BaseRepresentation
bin10110111101111…
…010100011000100
3222212001202111100
4112331322203010
51242121014343
6102122540100
712356150115
oct2675724304
9885052440
10385329348
11188565708
12a9067630
1361aa5b41
143926620c
1523c669d3
hex16f7a8c4

385329348 has 72 divisors (see below), whose sum is σ = 1028081600. Its totient is φ = 121352256.

The previous prime is 385329337. The next prime is 385329377. The reversal of 385329348 is 843923583.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418833 + ... + 419751.

Almost surely, 2385329348 is an apocalyptic number.

385329348 is a gapful number since it is divisible by the number (38) 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 385329348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514040800).

385329348 is an abundant number, since it is smaller than the sum of its proper divisors (642752252).

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

385329348 is a wasteful number, since it uses less digits than its factorization.

385329348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1556 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 385329348 is about 19629.8076404228. The cubic root of 385329348 is about 727.6860161309.

The spelling of 385329348 in words is "three hundred eighty-five million, three hundred twenty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 613 684 919 1226 1838 1839 2452 2757 3676 3678 5514 5517 7356 8271 11028 11034 11647 16542 17461 22068 23294 33084 34922 34941 46588 52383 69844 69882 104766 104823 139764 157149 209532 209646 314298 419292 563347 628596 1126694 1690041 2253388 3380082 5070123 6760164 10140246 10703593 20280492 21407186 32110779 42814372 64221558 96332337 128443116 192664674 385329348