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381230720 = 2751345821
BaseRepresentation
bin10110101110010…
…001111010000000
3222120100112020022
4112232101322000
51240043340340
6101455033012
712306256553
oct2656217200
9876315208
10381230720
11186216312
12a780b768
1360c9c410
14388ba69a
15237073b5
hex16b91e80

381230720 has 64 divisors (see below), whose sum is σ = 981507240. Its totient is φ = 140759040.

The previous prime is 381230711. The next prime is 381230741. The reversal of 381230720 is 27032183.

It can be written as a sum of positive squares in 4 ways, for example, as 350138944 + 31091776 = 18712^2 + 5576^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 381230720.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14591 + ... + 31230.

Almost surely, 2381230720 is an apocalyptic number.

It is an amenable number.

381230720 is an abundant number, since it is smaller than the sum of its proper divisors (600276520).

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

381230720 is a wasteful number, since it uses less digits than its factorization.

381230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45853 (or 45841 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 381230720 is about 19525.1304733157. The cubic root of 381230720 is about 725.0967575976.

The spelling of 381230720 in words is "three hundred eighty-one million, two hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 45821 91642 183284 229105 366568 458210 595673 733136 916420 1191346 1466272 1832840 2382692 2932544 2978365 3665680 4765384 5865088 5956730 7331360 9530768 11913460 14662720 19061536 23826920 29325440 38123072 47653840 76246144 95307680 190615360 381230720