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34000752 = 2432832503
BaseRepresentation
bin1000000110110…
…0111101110000
32100222102021010
42001230331300
532201011002
63212430520
7562000362
oct201547560
970872233
1034000752
11182132a5
12b478440
137075cb6
144730d32
152eb946c
hex206cf70

34000752 has 40 divisors (see below), whose sum is σ = 88180864. Its totient is φ = 11289024.

The previous prime is 34000723. The next prime is 34000763. The reversal of 34000752 is 25700043.

It is a happy number.

It is a super-2 number, since 2×340007522 = 2312102273131008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12333 + ... + 14835.

Almost surely, 234000752 is an apocalyptic number.

It is an amenable number.

34000752 is an abundant number, since it is smaller than the sum of its proper divisors (54180112).

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

34000752 is a wasteful number, since it uses less digits than its factorization.

34000752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 34000752 is about 5831.0163779568. The cubic root of 34000752 is about 323.9635685298.

Adding to 34000752 its reverse (25700043), we get a palindrome (59700795).

The spelling of 34000752 in words is "thirty-four million, seven hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 283 566 849 1132 1698 2264 2503 3396 4528 5006 6792 7509 10012 13584 15018 20024 30036 40048 60072 120144 708349 1416698 2125047 2833396 4250094 5666792 8500188 11333584 17000376 34000752