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3130240 = 2756773
BaseRepresentation
bin1011111100001110000000
312220000212211
423330032000
51300131430
6151031504
735415031
oct13741600
95800784
103130240
111848883
12106b594
13857a19
145b6a88
1541c72a
hex2fc380

3130240 has 64 divisors (see below), whose sum is σ = 7698960. Its totient is φ = 1216512.

The previous prime is 3130229. The next prime is 3130241. The reversal of 3130240 is 420313.

3130240 = 1702 + 1712 + ... + 2422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3130240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42844 + ... + 42916.

Almost surely, 23130240 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 3130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849480).

3130240 is an abundant number, since it is smaller than the sum of its proper divisors (4568720).

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

3130240 is an equidigital number, since it uses as much as digits as its factorization.

3130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3130240 is about 1769.2484280055. The cubic root of 3130240 is about 146.2825578281.

Adding to 3130240 its reverse (420313), we get a palindrome (3550553).

The spelling of 3130240 in words is "three million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 73 80 128 134 146 160 268 292 320 335 365 536 584 640 670 730 1072 1168 1340 1460 2144 2336 2680 2920 4288 4672 4891 5360 5840 8576 9344 9782 10720 11680 19564 21440 23360 24455 39128 42880 46720 48910 78256 97820 156512 195640 313024 391280 626048 782560 1565120 3130240