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434679127204 = 2272470932
BaseRepresentation
bin1100101001101001110…
…01010001110010100100
31112112222112110120012111
412110310321101302210
524110210324032304
6531404442130404
743255516422100
oct6246471216244
91475875416174
10434679127204
1115838a042a03
12702b11b0a04
1331cb423675a
1417077c24900
15b4911e5704
hex6534e51ca4

434679127204 has 27 divisors (see below), whose sum is σ = 884901299457. Its totient is φ = 186287098704.

The previous prime is 434679127163. The next prime is 434679127213. The reversal of 434679127204 is 402721976434.

The square root of 434679127204 is 659302.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 434531456100 + 147671104 = 659190^2 + 12152^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9206682 + ... + 9253774.

Almost surely, 2434679127204 is an apocalyptic number.

434679127204 is the 659302-nd square number.

It is an amenable number.

434679127204 is an abundant number, since it is smaller than the sum of its proper divisors (450222172253).

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

434679127204 is an frugal number, since it uses more digits than its factorization.

434679127204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94204 (or 47102 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Multiplying 434679127204 by its sum of digits (49), we get a square (21299277232996 = 46151142).

434679127204 divided by its sum of digits (49) gives a square (8871002596 = 941862).

The spelling of 434679127204 in words is "four hundred thirty-four billion, six hundred seventy-nine million, one hundred twenty-seven thousand, two hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 47093 94186 188372 329651 659302 1318604 2307557 4615114 9230228 2217750649 4435501298 8871002596 15524254543 31048509086 62097018172 108669781801 217339563602 434679127204