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34072580 = 2252417069
BaseRepresentation
bin1000000111111…
…0100000000100
32101010001210102
42001332200010
532210310310
63214143232
7562416653
oct201764004
971101712
1034072580
1118262263
12b4b1b18
13709c8b9
14474d19a
152ed08a5
hex207e804

34072580 has 24 divisors (see below), whose sum is σ = 71859480. Its totient is φ = 13570560.

The previous prime is 34072561. The next prime is 34072583. The reversal of 34072580 is 8527043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4631104 + 29441476 = 2152^2 + 5426^2 .

It is not an unprimeable number, because it can be changed into a prime (34072583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1286 + ... + 8354.

It is an arithmetic number, because the mean of its divisors is an integer number (2994145).

Almost surely, 234072580 is an apocalyptic number.

It is an amenable number.

34072580 is an abundant number, since it is smaller than the sum of its proper divisors (37786900).

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

34072580 is a wasteful number, since it uses less digits than its factorization.

34072580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 34072580 is about 5837.1722606070. The cubic root of 34072580 is about 324.1915369031.

The spelling of 34072580 in words is "thirty-four million, seventy-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 4820 7069 14138 28276 35345 70690 141380 1703629 3407258 6814516 8518145 17036290 34072580