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3134419488 = 253232992
BaseRepresentation
bin1011101011010011…
…0111001000100000
322002102222000012200
42322310313020200
522404402410423
61235005253200
7140450061144
oct27264671040
98072860180
103134419488
111369330832
12735864200
133ac4b97b5
1421a3d7224
15135296d43
hexbad37220

3134419488 has 54 divisors (see below), whose sum is σ = 8916208119. Its totient is φ = 1044489792.

The previous prime is 3134419459. The next prime is 3134419549. The reversal of 3134419488 is 8849144313.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1567209744 + 1567209744 = 39588^2 + 39588^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=39588.

It is a nude number because it is divisible by every one of its digits.

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, 948463 + ... + 951761.

Almost surely, 23134419488 is an apocalyptic number.

It is an amenable number.

3134419488 is an abundant number, since it is smaller than the sum of its proper divisors (5781788631).

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

3134419488 is an frugal number, since it uses more digits than its factorization.

3134419488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 3304 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 3134419488 is about 55985.8865072261. The cubic root of 3134419488 is about 1463.4763423221.

The spelling of 3134419488 in words is "three billion, one hundred thirty-four million, four hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3299 6598 9897 13196 19794 26392 29691 39588 52784 59382 79176 105568 118764 158352 237528 316704 475056 950112 10883401 21766802 32650203 43533604 65300406 87067208 97950609 130600812 174134416 195901218 261201624 348268832 391802436 522403248 783604872 1044806496 1567209744 3134419488