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31264380 = 223557919
BaseRepresentation
bin111011101000…
…0111001111100
32011211101200000
41313100321330
531000430010
63034034300
7526512540
oct167207174
964741600
1031264380
1116714434
12a578990
136628644
14421ba20
152b287c0
hex1dd0e7c

31264380 has 144 divisors (see below), whose sum is σ = 112519680. Its totient is φ = 7138368.

The previous prime is 31264379. The next prime is 31264403. The reversal of 31264380 is 8346213.

It is a happy number.

31264380 is a `hidden beast` number, since 3 + 12 + 643 + 8 + 0 = 666.

It is a super-2 number, since 2×312643802 = 1954922913568800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33561 + ... + 34479.

Almost surely, 231264380 is an apocalyptic number.

31264380 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 31264380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56259840).

31264380 is an abundant number, since it is smaller than the sum of its proper divisors (81255300).

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

31264380 is a wasteful number, since it uses less digits than its factorization.

31264380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 31264380 is about 5591.4559821213. The cubic root of 31264380 is about 315.0285688375.

The spelling of 31264380 in words is "thirty-one million, two hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 919 945 972 1134 1215 1260 1620 1701 1838 1890 2268 2430 2757 2835 3402 3676 3780 4595 4860 5514 5670 6433 6804 8271 8505 9190 11028 11340 12866 13785 16542 17010 18380 19299 24813 25732 27570 32165 33084 34020 38598 41355 49626 55140 57897 64330 74439 77196 82710 96495 99252 115794 124065 128660 148878 165420 173691 192990 223317 231588 248130 289485 297756 347382 372195 385980 446634 496260 521073 578970 694764 744390 868455 893268 1042146 1116585 1157940 1488780 1563219 1736910 2084292 2233170 2605365 3126438 3473820 4466340 5210730 6252876 7816095 10421460 15632190 31264380