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380240568 = 2337103211
BaseRepresentation
bin10110101010100…
…000001010111000
3222111111020000000
4112222200022320
51234320144233
6101421513000
712264664041
oct2652401270
9874436000
10380240568
111856aa404
12a7412760
1360a13826
14386dd8c8
15235add13
hex16aa02b8

380240568 has 128 divisors (see below), whose sum is σ = 1084761600. Its totient is φ = 124921440.

The previous prime is 380240563. The next prime is 380240579. The reversal of 380240568 is 865042083.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380240561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1801983 + ... + 1802193.

It is an arithmetic number, because the mean of its divisors is an integer number (8474700).

Almost surely, 2380240568 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 380240568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542380800).

380240568 is an abundant number, since it is smaller than the sum of its proper divisors (704521032).

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

380240568 is a wasteful number, since it uses less digits than its factorization.

380240568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 380240568 is about 19499.7581523464. The cubic root of 380240568 is about 724.4684604919.

The spelling of 380240568 in words is "three hundred eighty million, two hundred forty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 211 216 243 309 324 412 422 486 618 633 648 729 824 844 927 972 1236 1266 1458 1688 1854 1899 1944 2187 2472 2532 2781 2916 3708 3798 4374 5064 5562 5697 5832 7416 7596 8343 8748 11124 11394 15192 16686 17091 17496 21733 22248 22788 25029 33372 34182 43466 45576 50058 51273 65199 66744 68364 75087 86932 100116 102546 130398 136728 150174 153819 173864 195597 200232 205092 225261 260796 300348 307638 391194 410184 450522 461457 521592 586791 600696 615276 782388 901044 922914 1173582 1230552 1564776 1760373 1802088 1845828 2347164 3520746 3691656 4694328 5281119 7041492 10562238 14082984 15843357 21124476 31686714 42248952 47530071 63373428 95060142 126746856 190120284 380240568