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32412104340 = 2235711371271493
BaseRepresentation
bin11110001011111010…
…010111011010010100
310002122212002111110220
4132023322113122110
51012334444314330
622520115514340
72225126225010
oct361372273224
9102585074426
1032412104340
11128228737a0
1263468b89b0
13309702b385
1417d6939540
15c9a791710
hex78be97694

32412104340 has 384 divisors, whose sum is σ = 117199208448. Its totient is φ = 6497003520.

The previous prime is 32412104299. The next prime is 32412104363. The reversal of 32412104340 is 4340121423.

It is a self number, because there is not a number n which added to its sum of digits gives 32412104340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21708634 + ... + 21710126.

It is an arithmetic number, because the mean of its divisors is an integer number (305206272).

Almost surely, 232412104340 is an apocalyptic number.

32412104340 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 32412104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58599604224).

32412104340 is an abundant number, since it is smaller than the sum of its proper divisors (84787104108).

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

32412104340 is a wasteful number, since it uses less digits than its factorization.

32412104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1685 counting only the distinct ones).

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

Adding to 32412104340 its reverse (4340121423), we get a palindrome (36752225763).

The spelling of 32412104340 in words is "thirty-two billion, four hundred twelve million, one hundred four thousand, three hundred forty".