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31400424 = 23321141967
BaseRepresentation
bin111011111001…
…0000111101000
32012002022021200
41313302013220
531014303144
63041004200
7530620266
oct167620750
965068250
1031400424
11167a7670
12a623660
136675543
144255436
152b53c69
hex1df21e8

31400424 has 96 divisors (see below), whose sum is σ = 95135040. Its totient is φ = 9273600.

The previous prime is 31400401. The next prime is 31400429. The reversal of 31400424 is 42400413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31400397 and 31400406.

It is not an unprimeable number, because it can be changed into a prime (31400429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31989 + ... + 32955.

It is an arithmetic number, because the mean of its divisors is an integer number (990990).

Almost surely, 231400424 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 31400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567520).

31400424 is an abundant number, since it is smaller than the sum of its proper divisors (63734616).

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

31400424 is a wasteful number, since it uses less digits than its factorization.

31400424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 31400424 is about 5603.6081233434. The cubic root of 31400424 is about 315.4848466915.

Adding to 31400424 its reverse (42400413), we get a palindrome (73800837).

It can be divided in two parts, 314004 and 24, that added together give a triangular number (314028 = T792).

The spelling of 31400424 in words is "thirty-one million, four hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 967 984 1353 1476 1804 1934 2706 2901 2952 3608 3868 4059 5412 5802 7736 8118 8703 10637 10824 11604 16236 17406 21274 23208 31911 32472 34812 39647 42548 63822 69624 79294 85096 95733 118941 127644 158588 191466 237882 255288 317176 356823 382932 436117 475764 713646 765864 872234 951528 1308351 1427292 1744468 2616702 2854584 3488936 3925053 5233404 7850106 10466808 15700212 31400424