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75340434 = 231319291753
BaseRepresentation
bin1000111110110…
…01101010010010
312020202200122110
410133121222102
5123241343214
611250450150
71603245261
oct437315222
9166680573
1075340434
1139589424
1221293956
13127bb550
14a0125d8
156933159
hex47d9a92

75340434 has 64 divisors (see below), whose sum is σ = 176803200. Its totient is φ = 21192192.

The previous prime is 75340427. The next prime is 75340451. The reversal of 75340434 is 43404357.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42102 + ... + 43854.

It is an arithmetic number, because the mean of its divisors is an integer number (2762550).

Almost surely, 275340434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75340434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88401600).

75340434 is an abundant number, since it is smaller than the sum of its proper divisors (101462766).

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

75340434 is a wasteful number, since it uses less digits than its factorization.

75340434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819.

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 75340434 is about 8679.8867504133. The cubic root of 75340434 is about 422.3534433270.

The spelling of 75340434 in words is "seventy-five million, three hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 29 38 39 57 58 78 87 114 174 247 377 494 551 741 754 1102 1131 1482 1653 1753 2262 3306 3506 5259 7163 10518 14326 21489 22789 33307 42978 45578 50837 66614 68367 99921 101674 136734 152511 199842 305022 432991 660881 865982 965903 1298973 1321762 1931806 1982643 2597946 2897709 3965286 5795418 12556739 25113478 37670217 75340434