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31434192 = 2432239491
BaseRepresentation
bin111011111101…
…0010111010000
32012011000121100
41313322113100
531021343232
63041424400
7531120606
oct167722720
965130540
1031434192
111681aa79
12a63b100
136687a1a
144263876
152b5dc7c
hex1dfa5d0

31434192 has 60 divisors (see below), whose sum is σ = 91806624. Its totient is φ = 10021440.

The previous prime is 31434191. The next prime is 31434199. The reversal of 31434192 is 29143413.

31434192 is a `hidden beast` number, since 314 + 341 + 9 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1434 + ... + 8057.

Almost surely, 231434192 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 31434192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45903312).

31434192 is an abundant number, since it is smaller than the sum of its proper divisors (60372432).

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

31434192 is a wasteful number, since it uses less digits than its factorization.

31434192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528 (or 9519 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 31434192 is about 5606.6203723812. The cubic root of 31434192 is about 315.5978969244.

It can be divided in two parts, 31434 and 192, that added together give a triangular number (31626 = T251).

The spelling of 31434192 in words is "thirty-one million, four hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 9491 18982 28473 37964 56946 75928 85419 113892 151856 170838 218293 227784 341676 436586 455568 654879 683352 873172 1309758 1366704 1746344 1964637 2619516 3492688 3929274 5239032 7858548 10478064 15717096 31434192