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34324410096 = 243379454653
BaseRepresentation
bin11111111101111001…
…001110111011110000
310021121010102200211000
4133331321032323300
51030244022110341
623433551122000
72323406446314
oct377571167360
9107533380730
1034324410096
1113614264379
12679b213300
133310280142
1419388c7b44
15d5d5d08b6
hex7fde4eef0

34324410096 has 40 divisors (see below), whose sum is σ = 98523770960. Its totient is φ = 11441469888.

The previous prime is 34324410091. The next prime is 34324410103. The reversal of 34324410096 is 69001442343.

It is a happy number.

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 34324410096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34324410091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39726895 + ... + 39727758.

It is an arithmetic number, because the mean of its divisors is an integer number (2463094274).

Almost surely, 234324410096 is an apocalyptic number.

34324410096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34324410096 is an abundant number, since it is smaller than the sum of its proper divisors (64199360864).

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

34324410096 is a wasteful number, since it uses less digits than its factorization.

34324410096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79454670 (or 79454658 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34324410096 in words is "thirty-four billion, three hundred twenty-four million, four hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 79454653 158909306 238363959 317818612 476727918 635637224 715091877 953455836 1271274448 1430183754 1906911672 2145275631 2860367508 3813823344 4290551262 5720735016 8581102524 11441470032 17162205048 34324410096