Search a number
-
+
331139808 = 25328912919
BaseRepresentation
bin10011101111001…
…100101011100000
3212002002122102100
4103233030223200
51134232433213
652505250400
711130433116
oct2357145340
9762078370
10331139808
1115aa1326a
1292a93a00
13537b181c
1431d9bab6
151e110773
hex13bccae0

331139808 has 72 divisors (see below), whose sum is σ = 952333200. Its totient is φ = 109131264.

The previous prime is 331139803. The next prime is 331139843. The reversal of 331139808 is 808931133.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331139803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19173 + ... + 32091.

It is an arithmetic number, because the mean of its divisors is an integer number (13226850).

Almost surely, 2331139808 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 331139808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476166600).

331139808 is an abundant number, since it is smaller than the sum of its proper divisors (621193392).

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

331139808 is a wasteful number, since it uses less digits than its factorization.

331139808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13024 (or 13013 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 331139808 is about 18197.2472643529. The cubic root of 331139808 is about 691.8370204351.

The spelling of 331139808 in words is "three hundred thirty-one million, one hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 12919 25632 25838 38757 51676 77514 103352 116271 155028 206704 232542 310056 413408 465084 620112 930168 1149791 1240224 1860336 2299582 3449373 3720672 4599164 6898746 9198328 10348119 13797492 18396656 20696238 27594984 36793312 41392476 55189968 82784952 110379936 165569904 331139808