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31404996 = 2234761227
BaseRepresentation
bin111011111001…
…1001111000100
32012002112120000
41313303033010
531014424441
63041041300
7530636520
oct167631704
965075500
1031404996
1116800047
12a626230
13667764c
144256d80
152b552b6
hex1df33c4

31404996 has 120 divisors (see below), whose sum is σ = 95785536. Its totient is φ = 8786880.

The previous prime is 31404983. The next prime is 31405021. The reversal of 31404996 is 69940413.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31404996.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138235 + ... + 138461.

Almost surely, 231404996 is an apocalyptic number.

31404996 is a gapful number since it is divisible by the number (36) 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 31404996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47892768).

31404996 is an abundant number, since it is smaller than the sum of its proper divisors (64380540).

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

31404996 is a wasteful number, since it uses less digits than its factorization.

31404996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 31404996 is about 5604.0160599342. The cubic root of 31404996 is about 315.5001578088.

It can be divided in two parts, 31404 and 996, that added together give a square (32400 = 1802).

The spelling of 31404996 in words is "thirty-one million, four hundred four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 227 244 252 324 366 378 427 454 549 567 681 732 756 854 908 1098 1134 1281 1362 1589 1647 1708 2043 2196 2268 2562 2724 3178 3294 3843 4086 4767 4941 5124 6129 6356 6588 7686 8172 9534 9882 11529 12258 13847 14301 15372 18387 19068 19764 23058 24516 27694 28602 34587 36774 41541 42903 46116 55388 57204 69174 73548 83082 85806 96929 124623 128709 138348 166164 171612 193858 249246 257418 290787 373869 387716 498492 514836 581574 747738 872361 1121607 1163148 1495476 1744722 2243214 2617083 3489444 4486428 5234166 7851249 10468332 15702498 31404996