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3131400 = 2335217307
BaseRepresentation
bin1011111100100000001000
312220002110210
423330200020
51300201100
6151041120
735421306
oct13744010
95802423
103131400
111849738
1210701a0
138583cc
145b7276
1541cc50
hex2fc808

3131400 has 96 divisors (see below), whose sum is σ = 10311840. Its totient is φ = 783360.

The previous prime is 3131377. The next prime is 3131419. The reversal of 3131400 is 41313.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10047 + ... + 10353.

It is an arithmetic number, because the mean of its divisors is an integer number (107415).

Almost surely, 23131400 is an apocalyptic number.

3131400 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 3131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920).

3131400 is an abundant number, since it is smaller than the sum of its proper divisors (7180440).

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

3131400 is a wasteful number, since it uses less digits than its factorization.

3131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3131400 is about 1769.5762204551. The cubic root of 3131400 is about 146.3006253256.

Adding to 3131400 its reverse (41313), we get a palindrome (3172713).

The spelling of 3131400 in words is "three million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 307 340 408 425 510 600 614 680 850 921 1020 1228 1275 1535 1700 1842 2040 2456 2550 3070 3400 3684 4605 5100 5219 6140 7368 7675 9210 10200 10438 12280 15350 15657 18420 20876 23025 26095 30700 31314 36840 41752 46050 52190 61400 62628 78285 92100 104380 125256 130475 156570 184200 208760 260950 313140 391425 521900 626280 782850 1043800 1565700 3131400