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31340700 = 22325297359
BaseRepresentation
bin111011110001…
…1100010011100
32011222021100200
41313203202130
531010400300
63035423500
7530251206
oct167434234
964867320
1031340700
1116766806
12a5b4b90
1366542c1
14423b776
152b41200
hex1de389c

31340700 has 108 divisors (see below), whose sum is σ = 99524880. Its totient is φ = 8248320.

The previous prime is 31340689. The next prime is 31340713. The reversal of 31340700 is 704313.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87121 + ... + 87479.

Almost surely, 231340700 is an apocalyptic number.

31340700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31340700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762440).

31340700 is an abundant number, since it is smaller than the sum of its proper divisors (68184180).

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

31340700 is a wasteful number, since it uses less digits than its factorization.

31340700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 31340700 is about 5598.2765205016. The cubic root of 31340700 is about 315.2847010339.

It can be divided in two parts, 3 and 1340700, that added together give a triangular number (1340703 = T1637).

The spelling of 31340700 in words is "thirty-one million, three hundred forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 97 100 150 180 194 225 291 300 359 388 450 485 582 718 873 900 970 1077 1164 1436 1455 1746 1795 1940 2154 2425 2910 3231 3492 3590 4308 4365 4850 5385 5820 6462 7180 7275 8730 8975 9700 10770 12924 14550 16155 17460 17950 21540 21825 26925 29100 32310 34823 35900 43650 53850 64620 69646 80775 87300 104469 107700 139292 161550 174115 208938 313407 323100 348230 417876 522345 626814 696460 870575 1044690 1253628 1567035 1741150 2089380 2611725 3134070 3482300 5223450 6268140 7835175 10446900 15670350 31340700