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34498464 = 25371113359
BaseRepresentation
bin1000001110011…
…0011110100000
32101220200222220
42003212132200
532312422324
63231231040
7566142420
oct203463640
971820886
1034498464
1118523230
12b678480
1371bb6c0
144820480
153066b79
hex20e67a0

34498464 has 192 divisors, whose sum is σ = 121927680. Its totient is φ = 8248320.

The previous prime is 34498439. The next prime is 34498481. The reversal of 34498464 is 46489443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95917 + ... + 96275.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 234498464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34498464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

34498464 is an abundant number, since it is smaller than the sum of its proper divisors (87429216).

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

34498464 is a wasteful number, since it uses less digits than its factorization.

34498464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 34498464 is about 5873.5393077769. The cubic root of 34498464 is about 325.5366722800.

The spelling of 34498464 in words is "thirty-four million, four hundred ninety-eight thousand, four hundred sixty-four".