[go: up one dir, main page]

Search a number
-
+
31420944 = 24322353179
BaseRepresentation
bin111011111011…
…1001000010000
32012010100102200
41313313020100
531020432234
63041243200
7531034152
oct167671020
965110380
1031420944
1116811025
12a633500
136681999
14425cad2
152b59d99
hex1df7210

31420944 has 120 divisors (see below), whose sum is σ = 94011840. Its totient is φ = 9774336.

The previous prime is 31420903. The next prime is 31420951. The reversal of 31420944 is 44902413.

It is a super-2 number, since 2×314209442 = 1974551443702272, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 175447 + ... + 175625.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 231420944 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 31420944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47005920).

31420944 is an abundant number, since it is smaller than the sum of its proper divisors (62590896).

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

31420944 is a wasteful number, since it uses less digits than its factorization.

31420944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 31420944 is about 5605.4387874635. The cubic root of 31420944 is about 315.5535542498.

The spelling of 31420944 in words is "thirty-one million, four hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 53 69 72 92 106 138 144 159 179 184 207 212 276 318 358 368 414 424 477 537 552 636 716 828 848 954 1074 1104 1219 1272 1432 1611 1656 1908 2148 2438 2544 2864 3222 3312 3657 3816 4117 4296 4876 6444 7314 7632 8234 8592 9487 9752 10971 12351 12888 14628 16468 18974 19504 21942 24702 25776 28461 29256 32936 37053 37948 43884 49404 56922 58512 65872 74106 75896 85383 87768 98808 113844 148212 151792 170766 175536 197616 218201 227688 296424 341532 436402 455376 592848 654603 683064 872804 1309206 1366128 1745608 1963809 2618412 3491216 3927618 5236824 7855236 10473648 15710472 31420944