Search a number
-
+
31298436 = 22321366877
BaseRepresentation
bin111011101100…
…1001110000100
32011220010101100
41313121032010
531003022221
63034500100
7530014041
oct167311604
964803340
1031298436
1116737a84
12a594630
13663acb0
14422a1c8
152b33926
hex1dd9384

31298436 has 36 divisors (see below), whose sum is σ = 85202572. Its totient is φ = 9630144.

The previous prime is 31298431. The next prime is 31298441. The reversal of 31298436 is 63489213.

It is an interprime number because it is at equal distance from previous prime (31298431) and next prime (31298441).

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 29224836 = 1440^2 + 5406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31298436.

It is not an unprimeable number, because it can be changed into a prime (31298431) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32971 + ... + 33906.

Almost surely, 231298436 is an apocalyptic number.

31298436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31298436 is an abundant number, since it is smaller than the sum of its proper divisors (53904136).

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

31298436 is a wasteful number, since it uses less digits than its factorization.

31298436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66900 (or 66895 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 31298436 is about 5594.5005138976. The cubic root of 31298436 is about 315.1429132316.

The spelling of 31298436 in words is "thirty-one million, two hundred ninety-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 66877 133754 200631 267508 401262 601893 802524 869401 1203786 1738802 2407572 2608203 3477604 5216406 7824609 10432812 15649218 31298436