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23034341432340 = 22325732111768181
BaseRepresentation
bin1010011110011000110011…
…01111010001110000010100
310000120001122212012022001100
411033030121233101300110
511004343312401313330
6120553455205430100
74565114311443000
oct517143157216024
9100501585168040
1023034341432340
11738089a264157
12270026240b330
13cb118a7739b4
14598c21dcd700
1529e29941e060
hex14f319bd1c14

23034341432340 has 288 divisors, whose sum is σ = 81868241145600. Its totient is φ = 5240036793600.

The previous prime is 23034341432303. The next prime is 23034341432351. The reversal of 23034341432340 is 4323414343032.

23034341432340 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 4 + 3 + 414 + 3 + 234 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23034341432295 and 23034341432304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12143050 + ... + 13911230.

It is an arithmetic number, because the mean of its divisors is an integer number (284264726200).

Almost surely, 223034341432340 is an apocalyptic number.

23034341432340 is a gapful number since it is divisible by the number (20) 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 23034341432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40934120572800).

23034341432340 is an abundant number, since it is smaller than the sum of its proper divisors (58833899713260).

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

23034341432340 is a wasteful number, since it uses less digits than its factorization.

23034341432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768428 (or 1768409 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 23034341432340 its reverse (4323414343032), we get a palindrome (27357755775372).

The spelling of 23034341432340 in words is "twenty-three trillion, thirty-four billion, three hundred forty-one million, four hundred thirty-two thousand, three hundred forty".