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1474410304 = 2647210429
BaseRepresentation
bin101011111100001…
…1011011101000000
310210202100210201001
41113320123131000
511004422112204
6402145421344
751352165213
oct12770333500
93722323631
101474410304
116972a2314
1235193a854
131a6602843
14ddb6177a
15896924a4
hex57e1b740

1474410304 has 42 divisors (see below), whose sum is σ = 2989644770. Its totient is φ = 721450752.

The previous prime is 1474410293. The next prime is 1474410403. The reversal of 1474410304 is 4030144741.

It can be written as a sum of positive squares in only one way, i.e., 1470875904 + 3534400 = 38352^2 + 1880^2 .

It is a super-3 number, since 3×14744103043 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136162 + ... + 146590.

Almost surely, 21474410304 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 1474410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494822385).

1474410304 is an abundant number, since it is smaller than the sum of its proper divisors (1515234466).

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

1474410304 is an equidigital number, since it uses as much as digits as its factorization.

1474410304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 1474410304 is about 38398.0507838614. The cubic root of 1474410304 is about 1138.1673395897.

It can be divided in two parts, 1474 and 410304, that added together give a triangular number (411778 = T907).

The spelling of 1474410304 in words is "one billion, four hundred seventy-four million, four hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 2209 3008 4418 8836 10429 17672 20858 35344 41716 70688 83432 141376 166864 333728 490163 667456 980326 1960652 3921304 7842608 15685216 23037661 31370432 46075322 92150644 184301288 368602576 737205152 1474410304