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383440992 = 253113311097
BaseRepresentation
bin10110110110101…
…101100001100000
3222201111211011020
4112312231201200
51241130102432
6102014245440
712334123524
oct2666554140
9881454136
10383440992
11187495990
12a84b6880
136159447c
1438cd3d84
15239e222c
hex16dad860

383440992 has 96 divisors (see below), whose sum is σ = 1102356864. Its totient is φ = 115737600.

The previous prime is 383440991. The next prime is 383440999. The reversal of 383440992 is 299044383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383440991) 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, 348988 + ... + 350084.

It is an arithmetic number, because the mean of its divisors is an integer number (11482884).

Almost surely, 2383440992 is an apocalyptic number.

383440992 is a gapful number since it is divisible by the number (32) 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 383440992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551178432).

383440992 is an abundant number, since it is smaller than the sum of its proper divisors (718915872).

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

383440992 is a wasteful number, since it uses less digits than its factorization.

383440992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 383440992 is about 19581.6493687330. The cubic root of 383440992 is about 726.4953627381.

The spelling of 383440992 in words is "three hundred eighty-three million, four hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 331 352 528 662 993 1056 1097 1324 1986 2194 2648 3291 3641 3972 4388 5296 6582 7282 7944 8776 10592 10923 12067 13164 14564 15888 17552 21846 24134 26328 29128 31776 35104 36201 43692 48268 52656 58256 72402 87384 96536 105312 116512 144804 174768 193072 289608 349536 363107 386144 579216 726214 1089321 1158432 1452428 2178642 2904856 3994177 4357284 5809712 7988354 8714568 11619424 11982531 15976708 17429136 23965062 31953416 34858272 47930124 63906832 95860248 127813664 191720496 383440992