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3130440 = 2335191373
BaseRepresentation
bin1011111100010001001000
312220001011020
423330101020
51300133230
6151032440
735415435
oct13742110
95801136
103130440
111848a45
12106b720
13857b41
145b6b8c
1541c810
hex2fc448

3130440 has 64 divisors (see below), whose sum is σ = 9892800. Its totient is φ = 790272.

The previous prime is 3130429. The next prime is 3130451. The reversal of 3130440 is 440313.

It is an interprime number because it is at equal distance from previous prime (3130429) and next prime (3130451).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1594 + ... + 2966.

It is an arithmetic number, because the mean of its divisors is an integer number (154575).

Almost surely, 23130440 is an apocalyptic number.

3130440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946400).

3130440 is an abundant number, since it is smaller than the sum of its proper divisors (6762360).

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

3130440 is a wasteful number, since it uses less digits than its factorization.

3130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3130440 is about 1769.3049482777. The cubic root of 3130440 is about 146.2856732323.

Adding to 3130440 its reverse (440313), we get a palindrome (3570753).

It can be divided in two parts, 3130 and 440, that added together give a triangular number (3570 = T84).

The spelling of 3130440 in words is "three million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1373 2280 2746 4119 5492 6865 8238 10984 13730 16476 20595 26087 27460 32952 41190 52174 54920 78261 82380 104348 130435 156522 164760 208696 260870 313044 391305 521740 626088 782610 1043480 1565220 3130440