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380684736 = 26323891699
BaseRepresentation
bin10110101100001…
…100100111000000
3222112022210021200
4112230030213000
51234423402421
6101435221200
712301524015
oct2654144700
9875283250
10380684736
11185983093
12a75a7800
1360b3aa53
14387b770c
152364a726
hex16b0c9c0

380684736 has 84 divisors (see below), whose sum is σ = 1094613000. Its totient is φ = 126494208.

The previous prime is 380684699. The next prime is 380684767. The reversal of 380684736 is 637486083.

It is a junction number, because it is equal to n+sod(n) for n = 380684691 and 380684700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223215 + ... + 224913.

Almost surely, 2380684736 is an apocalyptic number.

380684736 is a gapful number since it is divisible by the number (36) 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 380684736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547306500).

380684736 is an abundant number, since it is smaller than the sum of its proper divisors (713928264).

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

380684736 is a wasteful number, since it uses less digits than its factorization.

380684736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 380684736 is about 19511.1438926579. The cubic root of 380684736 is about 724.7504403053.

The spelling of 380684736 in words is "three hundred eighty million, six hundred eighty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 389 576 778 1167 1556 1699 2334 3112 3398 3501 4668 5097 6224 6796 7002 9336 10194 12448 13592 14004 15291 18672 20388 24896 27184 28008 30582 37344 40776 54368 56016 61164 74688 81552 108736 112032 122328 163104 224064 244656 326208 489312 660911 978624 1321822 1982733 2643644 3965466 5287288 5948199 7930932 10574576 11896398 15861864 21149152 23792796 31723728 42298304 47585592 63447456 95171184 126894912 190342368 380684736