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383228688 = 243172711733
BaseRepresentation
bin10110110101111…
…001101100010000
3222201010000221010
4112311321230100
51241101304223
6102005530520
712332250543
oct2665715420
9881100833
10383228688
11187360427
12a8413a40
136151b94b
1438c7a85a
152399e393
hex16d79b10

383228688 has 80 divisors (see below), whose sum is σ = 1052718336. Its totient is φ = 119715840.

The previous prime is 383228687. The next prime is 383228693. The reversal of 383228688 is 886822383.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (383228687) 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, 220270 + ... + 222002.

Almost surely, 2383228688 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 383228688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526359168).

383228688 is an abundant number, since it is smaller than the sum of its proper divisors (669489648).

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

383228688 is a wasteful number, since it uses less digits than its factorization.

383228688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2026 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 383228688 is about 19576.2276243407. The cubic root of 383228688 is about 726.3612557527.

The spelling of 383228688 in words is "three hundred eighty-three million, two hundred twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 271 272 408 542 813 816 1084 1626 1733 2168 3252 3466 4336 4607 5199 6504 6932 9214 10398 13008 13821 13864 18428 20796 27642 27728 29461 36856 41592 55284 58922 73712 83184 88383 110568 117844 176766 221136 235688 353532 469643 471376 707064 939286 1408929 1414128 1878572 2817858 3757144 5635716 7514288 7983931 11271432 15967862 22542864 23951793 31935724 47903586 63871448 95807172 127742896 191614344 383228688