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380717136 = 243219227613
BaseRepresentation
bin10110101100010…
…100100001010000
3222112101102201200
4112230110201100
51234430422021
6101440031200
712302020332
oct2654244120
9875342650
10380717136
111859a5468
12a7602500
1360b4c717
14387c5452
1523655126
hex16b14850

380717136 has 120 divisors (see below), whose sum is σ = 1128335520. Its totient is φ = 119501568.

The previous prime is 380717131. The next prime is 380717153. The reversal of 380717136 is 631717083.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 380717136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380717131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620766 + ... + 621378.

It is an arithmetic number, because the mean of its divisors is an integer number (9402796).

Almost surely, 2380717136 is an apocalyptic number.

380717136 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 380717136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564167760).

380717136 is an abundant number, since it is smaller than the sum of its proper divisors (747618384).

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

380717136 is a wasteful number, since it uses less digits than its factorization.

380717136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 380717136 is about 19511.9741697246. The cubic root of 380717136 is about 724.7710008426.

The spelling of 380717136 in words is "three hundred eighty million, seven hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 227 228 304 342 454 456 613 681 684 908 912 1226 1362 1368 1816 1839 2043 2452 2724 2736 3632 3678 4086 4313 4904 5448 5517 7356 8172 8626 9808 10896 11034 11647 12939 14712 16344 17252 22068 23294 25878 29424 32688 34504 34941 38817 44136 46588 51756 69008 69882 77634 88272 93176 103512 104823 139151 139764 155268 186352 207024 209646 278302 279528 310536 417453 419292 556604 559056 621072 834906 838584 1113208 1252359 1669812 1677168 2226416 2504718 2643869 3339624 5009436 5287738 6679248 7931607 10018872 10575476 15863214 20037744 21150952 23794821 31726428 42301904 47589642 63452856 95179284 126905712 190358568 380717136