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380612736 = 2733715733
BaseRepresentation
bin10110101011111…
…011000010000000
3222112012010112000
4112223323002000
51234414101421
6101433504000
712301104060
oct2653730200
9875163460
10380612736
11185933a89
12a7572000
1360b1404a
14387993a0
1523634226
hex16afb080

380612736 has 128 divisors (see below), whose sum is σ = 1283894400. Its totient is φ = 108739584.

The previous prime is 380612669. The next prime is 380612783. The reversal of 380612736 is 637216083.

It is a happy number.

380612736 is a `hidden beast` number, since 3 + 8 + 0 + 612 + 7 + 36 = 666.

380612736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 380612736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16326 + ... + 32058.

It is an arithmetic number, because the mean of its divisors is an integer number (10030425).

Almost surely, 2380612736 is an apocalyptic number.

380612736 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 380612736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641947200).

380612736 is an abundant number, since it is smaller than the sum of its proper divisors (903281664).

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

380612736 is a wasteful number, since it uses less digits than its factorization.

380612736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15763 (or 15745 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 380612736 is about 19509.2987060017. The cubic root of 380612736 is about 724.7047460454.

The spelling of 380612736 in words is "three hundred eighty million, six hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 15733 24192 31466 47199 62932 94398 110131 125864 141597 188796 220262 251728 283194 330393 377592 424791 440524 503456 566388 660786 755184 849582 881048 991179 1006912 1132776 1321572 1510368 1699164 1762096 1982358 2013824 2265552 2643144 2973537 3020736 3398328 3524192 3964716 4531104 5286288 5947074 6041472 6796656 7048384 7929432 9062208 10572576 11894148 13593312 14096768 15858864 18124416 21145152 23788296 27186624 31717728 42290304 47576592 54373248 63435456 95153184 126870912 190306368 380612736