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31442320 = 2457213617
BaseRepresentation
bin111011111110…
…0010110010000
32012011102202101
41313330112100
531022123240
63041530144
7531153400
oct167742620
965142671
1031442320
1116826098
12a643954
13668b630
144266800
152b6139a
hex1dfc590

31442320 has 120 divisors (see below), whose sum is σ = 91728504. Its totient is φ = 9934848.

The previous prime is 31442273. The next prime is 31442347. The reversal of 31442320 is 2324413.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 30426256 = 1008^2 + 5516^2 .

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, 50652 + ... + 51268.

Almost surely, 231442320 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 31442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864252).

31442320 is an abundant number, since it is smaller than the sum of its proper divisors (60286184).

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

31442320 is a wasteful number, since it uses less digits than its factorization.

31442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 31442320 is about 5607.3451828829. The cubic root of 31442320 is about 315.6250961670.

Adding to 31442320 its reverse (2324413), we get a palindrome (33766733).

The spelling of 31442320 in words is "thirty-one million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 364 392 455 490 520 560 617 637 728 784 910 980 1040 1234 1274 1456 1820 1960 2468 2548 3085 3185 3640 3920 4319 4936 5096 6170 6370 7280 8021 8638 9872 10192 12340 12740 16042 17276 21595 24680 25480 30233 32084 34552 40105 43190 49360 50960 56147 60466 64168 69104 80210 86380 112294 120932 128336 151165 160420 172760 224588 241864 280735 302330 320840 345520 393029 449176 483728 561470 604660 641680 786058 898352 1122940 1209320 1572116 1965145 2245880 2418640 3144232 3930290 4491760 6288464 7860580 15721160 31442320