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34107480 = 2335511229
BaseRepresentation
bin1000001000011…
…1000001011000
32101011211200000
42002013001120
532212414410
63215013000
7562623501
oct202070130
971154600
1034107480
1118286500
12b50a160
1370b2754
14475bba8
152edadc0
hex2087058

34107480 has 288 divisors, whose sum is σ = 130712400. Its totient is φ = 7983360.

The previous prime is 34107467. The next prime is 34107481. The reversal of 34107480 is 8470143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34107481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1176106 + ... + 1176134.

Almost surely, 234107480 is an apocalyptic number.

34107480 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 34107480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65356200).

34107480 is an abundant number, since it is smaller than the sum of its proper divisors (96604920).

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

34107480 is a wasteful number, since it uses less digits than its factorization.

34107480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34107480 is about 5840.1609566860. The cubic root of 34107480 is about 324.3021872053.

The spelling of 34107480 in words is "thirty-four million, one hundred seven thousand, four hundred eighty".