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31494900 = 22352277379
BaseRepresentation
bin111100000100…
…1001011110100
32012021002212210
41320021023310
531030314100
63043013420
7531462603
oct170111364
965232783
1031494900
1116861648
12a66a270
1366a9548
14427ba3a
152b71c50
hex1e092f4

31494900 has 72 divisors (see below), whose sum is σ = 91695520. Its totient is φ = 8346240.

The previous prime is 31494887. The next prime is 31494907. The reversal of 31494900 is 949413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31494907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82911 + ... + 83289.

Almost surely, 231494900 is an apocalyptic number.

31494900 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 31494900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45847760).

31494900 is an abundant number, since it is smaller than the sum of its proper divisors (60200620).

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

31494900 is a wasteful number, since it uses less digits than its factorization.

31494900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 31494900 is about 5612.0317176581. The cubic root of 31494900 is about 315.8009348179.

The spelling of 31494900 in words is "thirty-one million, four hundred ninety-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 277 300 379 554 758 831 1108 1137 1385 1516 1662 1895 2274 2770 3324 3790 4155 4548 5540 5685 6925 7580 8310 9475 11370 13850 16620 18950 20775 22740 27700 28425 37900 41550 56850 83100 104983 113700 209966 314949 419932 524915 629898 1049830 1259796 1574745 2099660 2624575 3149490 5249150 6298980 7873725 10498300 15747450 31494900