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31434400104 = 23323238123917
BaseRepresentation
bin11101010001101000…
…101110000101101000
310000010201100222101220
4131101220232011220
51003334201300404
622235112142040
72161654664232
oct352150560550
9100121328356
1031434400104
1112370999068
126113397920
132c6c5c9563
141742b53252
15c3ea164d9
hex751a2e168

31434400104 has 64 divisors (see below), whose sum is σ = 82040653440. Its totient is φ = 10017934080.

The previous prime is 31434400093. The next prime is 31434400163. The reversal of 31434400104 is 40100443413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302354 + ... + 1326270.

It is an arithmetic number, because the mean of its divisors is an integer number (1281885210).

Almost surely, 231434400104 is an apocalyptic number.

It is an amenable number.

31434400104 is an abundant number, since it is smaller than the sum of its proper divisors (50606253336).

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

31434400104 is a wasteful number, since it uses less digits than its factorization.

31434400104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26330 (or 26326 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31434400104 its reverse (40100443413), we get a palindrome (71534843517).

The spelling of 31434400104 in words is "thirty-one billion, four hundred thirty-four million, four hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 2381 4762 7143 9524 14286 19048 23917 28572 47834 54763 57144 71751 95668 109526 143502 164289 191336 219052 287004 328578 438104 550091 574008 657156 1100182 1314312 1650273 2200364 3300546 4400728 6601092 13202184 56946377 113892754 170839131 227785508 341678262 455571016 683356524 1309766671 1366713048 2619533342 3929300013 5239066684 7858600026 10478133368 15717200052 31434400104