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3130974 = 234711251
BaseRepresentation
bin1011111100011001011110
312220001220000
423330121132
51300142344
6151035130
735420130
oct13743136
95801800
103130974
111849390
12106baa6
13858162
145b7050
1541ca69
hex2fc65e

3130974 has 80 divisors (see below), whose sum is σ = 8781696. Its totient is φ = 810000.

The previous prime is 3130961. The next prime is 3130979. The reversal of 3130974 is 4790313.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130979) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12349 + ... + 12599.

Almost surely, 23130974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848).

3130974 is an abundant number, since it is smaller than the sum of its proper divisors (5650722).

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

3130974 is a wasteful number, since it uses less digits than its factorization.

3130974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3130974 is about 1769.4558485591. The cubic root of 3130974 is about 146.2939907114.

The spelling of 3130974 in words is "three million, one hundred thirty thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 251 297 378 462 502 567 594 693 753 891 1134 1386 1506 1757 1782 2079 2259 2761 3514 4158 4518 5271 5522 6237 6777 8283 10542 12474 13554 15813 16566 19327 20331 24849 31626 38654 40662 47439 49698 57981 74547 94878 115962 142317 149094 173943 223641 284634 347886 447282 521829 1043658 1565487 3130974