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31093104 = 2437293191
BaseRepresentation
bin111011010011…
…1000101110000
32011111200201110
41312213011300
530424434404
63030233320
7525200310
oct166470560
964450643
1031093104
1116607789
12a4b5840
1365986b3
1441b5440
152ae2b89
hex1da7170

31093104 has 80 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 8574720.

The previous prime is 31093099. The next prime is 31093123. The reversal of 31093104 is 40139013.

It is a super-2 number, since 2×310931042 = 1933562232709632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8149 + ... + 11339.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 231093104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31093104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

31093104 is an abundant number, since it is smaller than the sum of its proper divisors (63900816).

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

31093104 is a wasteful number, since it uses less digits than its factorization.

31093104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 31093104 is about 5576.1190805075. The cubic root of 31093104 is about 314.4522402818.

The spelling of 31093104 in words is "thirty-one million, ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3191 3248 4872 6382 9573 9744 12764 19146 22337 25528 38292 44674 51056 67011 76584 89348 92539 134022 153168 178696 185078 268044 277617 357392 370156 536088 555234 647773 740312 1072176 1110468 1295546 1480624 1943319 2220936 2591092 3886638 4441872 5182184 7773276 10364368 15546552 31093104