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380022912 = 27321073083
BaseRepresentation
bin10110101001101…
…011000010000000
3222111002011102200
4112221223002000
51234241213122
6101413113200
712263066343
oct2651530200
9874064380
10380022912
11185570925
12a7328800
1360968739
143868445a
15235695ac
hex16a6b080

380022912 has 96 divisors (see below), whose sum is σ = 1104133680. Its totient is φ = 125449728.

The previous prime is 380022911. The next prime is 380022917. The reversal of 380022912 is 219220083.

It is a happy number.

380022912 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 (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (380022911) 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 11 ways as a sum of consecutive naturals, for example, 121723 + ... + 124805.

Almost surely, 2380022912 is an apocalyptic number.

380022912 is a gapful number since it is divisible by the number (32) 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 380022912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552066840).

380022912 is an abundant number, since it is smaller than the sum of its proper divisors (724110768).

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

380022912 is a wasteful number, since it uses less digits than its factorization.

380022912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 380022912 is about 19494.1763611598. The cubic root of 380022912 is about 724.3302015253.

Adding to 380022912 its reverse (219220083), we get a palindrome (599242995).

The spelling of 380022912 in words is "three hundred eighty million, twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 288 321 384 428 576 642 856 963 1152 1284 1712 1926 2568 3083 3424 3852 5136 6166 6848 7704 9249 10272 12332 13696 15408 18498 20544 24664 27747 30816 36996 41088 49328 55494 61632 73992 98656 110988 123264 147984 197312 221976 295968 329881 394624 443952 591936 659762 887904 989643 1183872 1319524 1775808 1979286 2639048 2968929 3551616 3958572 5278096 5937858 7917144 10556192 11875716 15834288 21112384 23751432 31668576 42224768 47502864 63337152 95005728 126674304 190011456 380022912