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383078136 = 2337171131187
BaseRepresentation
bin10110110101010…
…100111011111000
3222200211101102010
4112311110323320
51241032000021
6102002405520
712331052610
oct2665247370
9880741363
10383078136
11187268301
12a83608a0
136149826c
1438c3ba40
152396e976
hex16d54ef8

383078136 has 128 divisors (see below), whose sum is σ = 1170132480. Its totient is φ = 102014976.

The previous prime is 383078093. The next prime is 383078141. The reversal of 383078136 is 631870383.

383078136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 383078094 and 383078103.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 322135 + ... + 323321.

It is an arithmetic number, because the mean of its divisors is an integer number (9141660).

Almost surely, 2383078136 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 383078136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585066240).

383078136 is an abundant number, since it is smaller than the sum of its proper divisors (787054344).

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

383078136 is a wasteful number, since it uses less digits than its factorization.

383078136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 383078136 is about 19572.3819705216. The cubic root of 383078136 is about 726.2661259026.

It can be divided in two parts, 38307 and 8136, that multiplied together give a cube (311665752 = 6783).

The spelling of 383078136 in words is "three hundred eighty-three million, seventy-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 113 119 136 168 204 226 238 339 357 408 452 476 678 714 791 904 952 1187 1356 1428 1582 1921 2373 2374 2712 2856 3164 3561 3842 4746 4748 5763 6328 7122 7684 8309 9492 9496 11526 13447 14244 15368 16618 18984 20179 23052 24927 26894 28488 33236 40341 40358 46104 49854 53788 60537 66472 80682 80716 99708 107576 121074 134131 141253 161364 161432 199416 242148 268262 282506 322728 402393 423759 484296 536524 565012 804786 847518 938917 1073048 1130024 1609572 1695036 1877834 2280227 2816751 3219144 3390072 3755668 4560454 5633502 6840681 7511336 9120908 11267004 13681362 15961589 18241816 22534008 27362724 31923178 47884767 54725448 63846356 95769534 127692712 191539068 383078136