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3131345 = 57212781
BaseRepresentation
bin1011111100011111010001
312220002101202
423330133101
51300200340
6151040545
735421200
oct13743721
95802352
103131345
111849698
121070155
13858389
145b7237
1541cc15
hex2fc7d1

3131345 has 12 divisors (see below), whose sum is σ = 4371444. Its totient is φ = 2147040.

The previous prime is 3131339. The next prime is 3131351. The reversal of 3131345 is 5431313.

3131345 = 1282 + 1292 + ... + 2252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3131339) and next prime (3131351).

It can be written as a sum of positive squares in 2 ways, for example, as 1731856 + 1399489 = 1316^2 + 1183^2 .

It is not a de Polignac number, because 3131345 - 24 = 3131329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6146 + ... + 6635.

It is an arithmetic number, because the mean of its divisors is an integer number (364287).

Almost surely, 23131345 is an apocalyptic number.

3131345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3131345 is a deficient number, since it is larger than the sum of its proper divisors (1240099).

3131345 is a wasteful number, since it uses less digits than its factorization.

3131345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12800 (or 12793 counting only the distinct ones).

The product of its digits is 540, while the sum is 20.

The square root of 3131345 is about 1769.5606799429. The cubic root of 3131345 is about 146.2997687778.

Adding to 3131345 its reverse (5431313), we get a palindrome (8562658).

Subtracting 3131345 from its reverse (5431313), we obtain a cube (2299968 = 1323).

The spelling of 3131345 in words is "three million, one hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 245 12781 63905 89467 447335 626269 3131345