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3134160 = 243351451
BaseRepresentation
bin1011111101001011010000
312220020021000
423331023100
51300243120
6151102000
735432331
oct13751320
95806230
103134160
111850817
121071900
13859743
145b8288
1541d990
hex2fd2d0

3134160 has 80 divisors (see below), whose sum is σ = 10802880. Its totient is φ = 835200.

The previous prime is 3134147. The next prime is 3134203. The reversal of 3134160 is 614313.

It is a tau number, because it is divible by the number of its divisors (80).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1435 + ... + 2885.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

Almost surely, 23134160 is an apocalyptic number.

3134160 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 3134160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401440).

3134160 is an abundant number, since it is smaller than the sum of its proper divisors (7668720).

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

3134160 is a wasteful number, since it uses less digits than its factorization.

3134160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1461 counting only the distinct ones).

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

The square root of 3134160 is about 1770.3558964231. The cubic root of 3134160 is about 146.3435955787.

Adding to 3134160 its reverse (614313), we get a palindrome (3748473).

It can be divided in two parts, 31 and 34160, that added together give a triangular number (34191 = T261).

The spelling of 3134160 in words is "three million, one hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1451 2160 2902 4353 5804 7255 8706 11608 13059 14510 17412 21765 23216 26118 29020 34824 39177 43530 52236 58040 65295 69648 78354 87060 104472 116080 130590 156708 174120 195885 208944 261180 313416 348240 391770 522360 626832 783540 1044720 1567080 3134160