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380849920 = 2851122459
BaseRepresentation
bin10110101100110…
…100111100000000
3222112122011212121
4112230310330000
51234444144140
6101442534024
712303112423
oct2654647400
9875564777
10380849920
11185a86200
12a7667314
1360b97ca9
143881b9ba
152367e64a
hex16b34f00

380849920 has 108 divisors (see below), whose sum is σ = 1003133880. Its totient is φ = 138434560.

The previous prime is 380849879. The next prime is 380849923. The reversal of 380849920 is 29948083.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380849923) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 153651 + ... + 156109.

Almost surely, 2380849920 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 380849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501566940).

380849920 is an abundant number, since it is smaller than the sum of its proper divisors (622283960).

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

380849920 is a wasteful number, since it uses less digits than its factorization.

380849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 380849920 is about 19515.3765016205. The cubic root of 380849920 is about 724.8552513243.

The spelling of 380849920 in words is "three hundred eighty million, eight hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 605 640 704 880 968 1210 1280 1408 1760 1936 2420 2459 2816 3520 3872 4840 4918 7040 7744 9680 9836 12295 14080 15488 19360 19672 24590 27049 30976 38720 39344 49180 54098 77440 78688 98360 108196 135245 154880 157376 196720 216392 270490 297539 314752 393440 432784 540980 595078 629504 786880 865568 1081960 1190156 1487695 1573760 1731136 2163920 2380312 2975390 3147520 3462272 4327840 4760624 5950780 6924544 8655680 9521248 11901560 17311360 19042496 23803120 34622720 38084992 47606240 76169984 95212480 190424960 380849920