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380822016 = 2931913049
BaseRepresentation
bin10110101100101…
…110001000000000
3222112120202121010
4112230232020000
51234442301031
6101442200520
712302635161
oct2654561000
9875522533
10380822016
11185a67243
12a7653140
1360b88393
1438811768
1523676246
hex16b2e200

380822016 has 80 divisors (see below), whose sum is σ = 1068012000. Its totient is φ = 120250368.

The previous prime is 380821993. The next prime is 380822023. The reversal of 380822016 is 610228083.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22660 + ... + 35708.

It is an arithmetic number, because the mean of its divisors is an integer number (13350150).

Almost surely, 2380822016 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 380822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534006000).

380822016 is an abundant number, since it is smaller than the sum of its proper divisors (687189984).

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

380822016 is a wasteful number, since it uses less digits than its factorization.

380822016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13089 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 380822016 is about 19514.6615650900. The cubic root of 380822016 is about 724.8375480648.

The spelling of 380822016 in words is "three hundred eighty million, eight hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3648 4864 7296 9728 13049 14592 26098 29184 39147 52196 78294 104392 156588 208784 247931 313176 417568 495862 626352 743793 835136 991724 1252704 1487586 1670272 1983448 2505408 2975172 3340544 3966896 5010816 5950344 6681088 7933792 10021632 11900688 15867584 20043264 23801376 31735168 47602752 63470336 95205504 126940672 190411008 380822016