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3141630 = 232567521
BaseRepresentation
bin1011111110111111111110
312220121111200
423332333332
51301013010
6151200330
735463162
oct13767776
95817450
103141630
111856398
1210760a6
1385cc6b
145baca2
15420cc0
hex2feffe

3141630 has 48 divisors (see below), whose sum is σ = 8306064. Its totient is φ = 823680.

The previous prime is 3141601. The next prime is 3141641. The reversal of 3141630 is 361413.

3141630 is a `hidden beast` number, since 31 + 4 + 1 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5770 + ... + 6290.

It is an arithmetic number, because the mean of its divisors is an integer number (173043).

Almost surely, 23141630 is an apocalyptic number.

3141630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153032).

3141630 is an abundant number, since it is smaller than the sum of its proper divisors (5164434).

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

3141630 is a wasteful number, since it uses less digits than its factorization.

3141630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3141630 is about 1772.4643861020. The cubic root of 3141630 is about 146.4597691097.

The spelling of 3141630 in words is "three million, one hundred forty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 521 603 670 1005 1042 1206 1563 2010 2605 3015 3126 4689 5210 6030 7815 9378 15630 23445 34907 46890 69814 104721 174535 209442 314163 349070 523605 628326 1047210 1570815 3141630