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3134438500 = 225314942073
BaseRepresentation
bin1011101011010011…
…1011110001100100
322002102222222021211
42322310323301210
522404404013000
61235005521204
7140450200444
oct27264736144
98072888254
103134438500
111369344046
12735873204
133ac4c534b
1421a400124
1513529c7ba
hexbad3bc64

3134438500 has 48 divisors (see below), whose sum is σ = 6891721200. Its totient is φ = 1245331200.

The previous prime is 3134438443. The next prime is 3134438509. The reversal of 3134438500 is 58344313.

It can be written as a sum of positive squares in 8 ways, for example, as 2563801956 + 570636544 = 50634^2 + 23888^2 .

It is not an unprimeable number, because it can be changed into a prime (3134438509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53464 + ... + 95536.

It is an arithmetic number, because the mean of its divisors is an integer number (143577525).

Almost surely, 23134438500 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 3134438500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445860600).

3134438500 is an abundant number, since it is smaller than the sum of its proper divisors (3757282700).

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

3134438500 is a wasteful number, since it uses less digits than its factorization.

3134438500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42241 (or 42229 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 3134438500 is about 55986.0562997609. The cubic root of 3134438500 is about 1463.4793012492.

The spelling of 3134438500 in words is "three billion, one hundred thirty-four million, four hundred thirty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 149 250 298 500 596 745 1490 2980 3725 7450 14900 18625 37250 42073 74500 84146 168292 210365 420730 841460 1051825 2103650 4207300 5259125 6268877 10518250 12537754 21036500 25075508 31344385 62688770 125377540 156721925 313443850 626887700 783609625 1567219250 3134438500