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31406424 = 2337712633
BaseRepresentation
bin111011111001…
…1100101011000
32012002121111220
41313303211120
531020001144
63041052040
7530643630
oct167634530
965077456
1031406424
1116801125
12a627020
1366781aa
1442576c0
152b55919
hex1df3958

31406424 has 64 divisors (see below), whose sum is σ = 91031040. Its totient is φ = 8843520.

The previous prime is 31406423. The next prime is 31406443. The reversal of 31406424 is 42460413.

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

It is a junction number, because it is equal to n+sod(n) for n = 31406394 and 31406403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31406423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10612 + ... + 13244.

It is an arithmetic number, because the mean of its divisors is an integer number (1422360).

Almost surely, 231406424 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 31406424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45515520).

31406424 is an abundant number, since it is smaller than the sum of its proper divisors (59624616).

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

31406424 is a wasteful number, since it uses less digits than its factorization.

31406424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 31406424 is about 5604.1434671143. The cubic root of 31406424 is about 315.5049397167.

Adding to 31406424 its reverse (42460413), we get a palindrome (73866837).

The spelling of 31406424 in words is "thirty-one million, four hundred six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2633 2982 3976 5266 5964 7899 10532 11928 15798 18431 21064 31596 36862 55293 63192 73724 110586 147448 186943 221172 373886 442344 560829 747772 1121658 1308601 1495544 2243316 2617202 3925803 4486632 5234404 7851606 10468808 15703212 31406424