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380926000 = 24537213223
BaseRepresentation
bin10110101101000…
…111100000110000
3222112210001020101
4112231013200300
51240004113000
6101444322144
712303550300
oct2655074060
9875701211
10380926000
11186028384
12a76a3354
1360bc3800
143883b600
1523696e6a
hex16b47830

380926000 has 360 divisors, whose sum is σ = 1210663584. Its totient is φ = 115315200.

The previous prime is 380925997. The next prime is 380926057. The reversal of 380926000 is 629083.

380926000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 380926000.

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 71 ways as a sum of consecutive naturals, for example, 16561989 + ... + 16562011.

Almost surely, 2380926000 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 380926000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605331792).

380926000 is an abundant number, since it is smaller than the sum of its proper divisors (829737584).

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

380926000 is a wasteful number, since it uses less digits than its factorization.

380926000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 380926000 is about 19517.3256364698. The cubic root of 380926000 is about 724.9035147066.

The spelling of 380926000 in words is "three hundred eighty million, nine hundred twenty-six thousand".