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31484880 = 2432576247
BaseRepresentation
bin111100000011…
…0101111010000
32012020121010200
41320012233100
531030004010
63042455200
7531421440
oct170065720
965217120
1031484880
1116855069
12a664500
1366a4b0b
144278120
152b6dcc0
hex1e06bd0

31484880 has 120 divisors (see below), whose sum is σ = 120861312. Its totient is φ = 7195392.

The previous prime is 31484863. The next prime is 31484903. The reversal of 31484880 is 8848413.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×314848802 = 1982595337228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917 + ... + 8163.

Almost surely, 231484880 is an apocalyptic number.

31484880 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 31484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60430656).

31484880 is an abundant number, since it is smaller than the sum of its proper divisors (89376432).

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

31484880 is a wasteful number, since it uses less digits than its factorization.

31484880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6273 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 31484880 is about 5611.1389218233. The cubic root of 31484880 is about 315.7674409189.

The spelling of 31484880 in words is "thirty-one million, four hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 6247 12494 18741 24988 31235 37482 43729 49976 56223 62470 74964 87458 93705 99952 112446 124940 131187 149928 174916 187410 218645 224892 249880 262374 281115 299856 349832 374820 393561 437290 449784 499760 524748 562230 655935 699664 749640 787122 874580 899568 1049496 1124460 1311870 1499280 1574244 1749160 1967805 2098992 2248920 2623740 3148488 3498320 3935610 4497840 5247480 6296976 7871220 10494960 15742440 31484880