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8434764 = 22321367269
BaseRepresentation
bin100000001011…
…010001001100
3120212112022200
4200023101030
54124403024
6500441500
7131460102
oct40132114
916775280
108434764
114841188
1229a9290
1319942b0
141197c72
15b192c9
hex80b44c

8434764 has 72 divisors (see below), whose sum is σ = 23390640. Its totient is φ = 2547072.

The previous prime is 8434763. The next prime is 8434787. The reversal of 8434764 is 4674348.

It is a super-2 number, since 2×84347642 = 142290487471392, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 85 + 45 + 37 + 411 + 74 + 65 + 411 .

It is not an unprimeable number, because it can be changed into a prime (8434763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31222 + ... + 31490.

It is an arithmetic number, because the mean of its divisors is an integer number (324870).

Almost surely, 28434764 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 8434764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

8434764 is an abundant number, since it is smaller than the sum of its proper divisors (14955876).

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

8434764 is a wasteful number, since it uses less digits than its factorization.

8434764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 354 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 8434764 is about 2904.2665166957. The cubic root of 8434764 is about 203.5593139869.

The spelling of 8434764 in words is "eight million, four hundred thirty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 269 402 468 538 603 804 807 871 1076 1206 1614 1742 2412 2421 2613 3228 3484 3497 4842 5226 6994 7839 9684 10452 10491 13988 15678 18023 20982 31356 31473 36046 41964 54069 62946 72092 108138 125892 162207 216276 234299 324414 468598 648828 702897 937196 1405794 2108691 2811588 4217382 8434764