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380308392 = 23337389271
BaseRepresentation
bin10110101010110…
…000101110101000
3222111121200001000
4112222300232220
51234324332032
6101423155000
712265365552
oct2652605650
9874550030
10380308392
11185746362
12a7445a60
1360a38669
143871a4d2
15235c3e7c
hex16ab0ba8

380308392 has 128 divisors (see below), whose sum is σ = 1086912000. Its totient is φ = 123171840.

The previous prime is 380308373. The next prime is 380308399. The reversal of 380308392 is 293803083.

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

It is not an unprimeable number, because it can be changed into a prime (380308399) 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, 1403217 + ... + 1403487.

It is an arithmetic number, because the mean of its divisors is an integer number (8491500).

Almost surely, 2380308392 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 380308392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543456000).

380308392 is an abundant number, since it is smaller than the sum of its proper divisors (706603608).

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

380308392 is a wasteful number, since it uses less digits than its factorization.

380308392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 380308392 is about 19501.4971732942. The cubic root of 380308392 is about 724.5115327220.

The spelling of 380308392 in words is "three hundred eighty million, three hundred eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 89 108 146 178 216 219 267 271 292 356 438 534 542 584 657 712 801 813 876 1068 1084 1314 1602 1626 1752 1971 2136 2168 2403 2439 2628 3204 3252 3942 4806 4878 5256 6408 6497 6504 7317 7884 9612 9756 12994 14634 15768 19224 19491 19512 19783 24119 25988 29268 38982 39566 48238 51976 58473 58536 59349 72357 77964 79132 96476 116946 118698 144714 155928 158264 175419 178047 192952 217071 233892 237396 289428 350838 356094 434142 467784 474792 534141 578856 651213 701676 712188 868284 1068282 1302426 1403352 1424376 1736568 1760687 2136564 2604852 3521374 4273128 5209704 5282061 7042748 10564122 14085496 15846183 21128244 31692366 42256488 47538549 63384732 95077098 126769464 190154196 380308392