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34572096 = 26371319
BaseRepresentation
bin1000001111100…
…0011101000000
32102001110000000
42003320131000
532322301341
63233000000
7566600166
oct203703500
972043000
1034572096
1118573589
12b6b3000
137216080
14483d236
15307d8b6
hex20f8740

34572096 has 224 divisors, whose sum is σ = 116636800. Its totient is φ = 10077696.

The previous prime is 34572091. The next prime is 34572103. The reversal of 34572096 is 69027543.

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 34572096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34572091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819575 + ... + 1819593.

It is an arithmetic number, because the mean of its divisors is an integer number (520700).

Almost surely, 234572096 is an apocalyptic number.

34572096 is a gapful number since it is divisible by the number (36) 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 34572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58318400).

34572096 is an abundant number, since it is smaller than the sum of its proper divisors (82064704).

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

34572096 is an equidigital number, since it uses as much as digits as its factorization.

34572096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 34572096 is about 5879.8040783686. The cubic root of 34572096 is about 325.7681114053.

The spelling of 34572096 in words is "thirty-four million, five hundred seventy-two thousand, ninety-six".