Search a number
-
+
331205640 = 233511712357
BaseRepresentation
bin10011101111011…
…100110000001000
3212002012222201120
4103233130300020
51134242040030
652510515240
711131126053
oct2357346010
9762188646
10331205640
1115aa58777
1292b05b20
135380578c
1431db7a9a
151e125010
hex13bdcc08

331205640 has 64 divisors (see below), whose sum is σ = 994887360. Its totient is φ = 88208640.

The previous prime is 331205617. The next prime is 331205671. The reversal of 331205640 is 46502133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 331205640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139342 + ... + 141698.

It is an arithmetic number, because the mean of its divisors is an integer number (15545115).

Almost surely, 2331205640 is an apocalyptic number.

331205640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331205640 is an abundant number, since it is smaller than the sum of its proper divisors (663681720).

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

331205640 is a wasteful number, since it uses less digits than its factorization.

331205640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 331205640 is about 18199.0560194753. The cubic root of 331205640 is about 691.8828641098.

Adding to 331205640 its reverse (46502133), we get a palindrome (377707773).

The spelling of 331205640 in words is "three hundred thirty-one million, two hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1171 2342 2357 3513 4684 4714 5855 7026 7071 9368 9428 11710 11785 14052 14142 17565 18856 23420 23570 28104 28284 35130 35355 46840 47140 56568 70260 70710 94280 140520 141420 282840 2760047 5520094 8280141 11040188 13800235 16560282 22080376 27600470 33120564 41400705 55200940 66241128 82801410 110401880 165602820 331205640