Search a number
-
+
31468480 = 265293391
BaseRepresentation
bin111100000001…
…0101111000000
32012012202122021
41320002233000
531023442410
63042251224
7531322561
oct170025700
965182567
1031468480
111684380a
12a656b14
13669a504
144272168
152b68eda
hex1e02bc0

31468480 has 56 divisors (see below), whose sum is σ = 77541120. Its totient is φ = 12149760.

The previous prime is 31468471. The next prime is 31468499. The reversal of 31468480 is 8486413.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7585 + ... + 10975.

Almost surely, 231468480 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 31468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38770560).

31468480 is an abundant number, since it is smaller than the sum of its proper divisors (46072640).

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

31468480 is a wasteful number, since it uses less digits than its factorization.

31468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 31468480 is about 5609.6773525756. The cubic root of 31468480 is about 315.7126052281.

The spelling of 31468480 in words is "thirty-one million, four hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 3391 4640 6782 9280 13564 16955 27128 33910 54256 67820 98339 108512 135640 196678 217024 271280 393356 491695 542560 786712 983390 1085120 1573424 1966780 3146848 3933560 6293696 7867120 15734240 31468480