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3130496 = 2737661
BaseRepresentation
bin1011111100010010000000
312220001020022
423330102000
51300133441
6151033012
735415545
oct13742200
95801208
103130496
111848a96
12106b768
13857b85
145b6bcc
1541c84b
hex2fc480

3130496 has 32 divisors (see below), whose sum is σ = 6414780. Its totient is φ = 1520640.

The previous prime is 3130493. The next prime is 3130513. The reversal of 3130496 is 6940313.

It can be written as a sum of positive squares in 2 ways, for example, as 2689600 + 440896 = 1640^2 + 664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3130493) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4406 + ... + 5066.

Almost surely, 23130496 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 3130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207390).

3130496 is an abundant number, since it is smaller than the sum of its proper divisors (3284284).

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

3130496 is an equidigital number, since it uses as much as digits as its factorization.

3130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 3130496 is about 1769.3207736304. The cubic root of 3130496 is about 146.2865455217.

The spelling of 3130496 in words is "three million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 661 1184 1322 2368 2644 4736 5288 10576 21152 24457 42304 48914 84608 97828 195656 391312 782624 1565248 3130496