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31340790 = 2335138929
BaseRepresentation
bin111011110001…
…1100011110110
32011222021111000
41313203203312
531010401130
63035424130
7530251365
oct167434366
964867430
1031340790
1116766888
12a5b5046
136654360
14423b7dc
152b41260
hex1de38f6

31340790 has 64 divisors (see below), whose sum is σ = 90014400. Its totient is φ = 7713792.

The previous prime is 31340767. The next prime is 31340831. The reversal of 31340790 is 9704313.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955 + ... + 7974.

It is an arithmetic number, because the mean of its divisors is an integer number (1406475).

Almost surely, 231340790 is an apocalyptic number.

31340790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31340790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45007200).

31340790 is an abundant number, since it is smaller than the sum of its proper divisors (58673610).

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

31340790 is a wasteful number, since it uses less digits than its factorization.

31340790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958 (or 8952 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 31340790 is about 5598.2845586840. The cubic root of 31340790 is about 315.2850028309.

The spelling of 31340790 in words is "thirty-one million, three hundred forty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 8929 17858 26787 44645 53574 80361 89290 116077 133935 160722 232154 241083 267870 348231 401805 482166 580385 696462 803610 1044693 1160770 1205415 1741155 2089386 2410830 3134079 3482310 5223465 6268158 10446930 15670395 31340790