Search a number
-
+
381023980 = 225231316323
BaseRepresentation
bin10110101101011…
…111011011101100
3222112222000122021
4112231133123230
51240020231410
6101450355524
712304436041
oct2655373354
9875860567
10381023980
11186094a57
12a772bba4
1360c2929c
14388651c8
15236b5eda
hex16b5f6ec

381023980 has 48 divisors (see below), whose sum is σ = 841446144. Its totient is φ = 144647360.

The previous prime is 381023969. The next prime is 381023983. The reversal of 381023980 is 89320183.

It is not an unprimeable number, because it can be changed into a prime (381023983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57099 + ... + 63421.

It is an arithmetic number, because the mean of its divisors is an integer number (17530128).

Almost surely, 2381023980 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 381023980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420723072).

381023980 is an abundant number, since it is smaller than the sum of its proper divisors (460422164).

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

381023980 is a wasteful number, since it uses less digits than its factorization.

381023980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 381023980 is about 19519.8355525860. The cubic root of 381023980 is about 724.9656614731.

The spelling of 381023980 in words is "three hundred eighty-one million, twenty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 131 230 262 460 524 655 1310 2620 3013 6026 6323 12052 12646 15065 25292 30130 31615 60260 63230 126460 145429 290858 581716 727145 828313 1454290 1656626 2908580 3313252 4141565 8283130 16566260 19051199 38102398 76204796 95255995 190511990 381023980