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3157380 = 223451949
BaseRepresentation
bin1100000010110110000100
312221102010000
430002312010
51302014010
6151401300
735560122
oct14026604
95842100
103157380
111867206
121083230
13867195
145c2912
154257c0
hex302d84

3157380 has 60 divisors (see below), whose sum is σ = 9909900. Its totient is φ = 841536.

The previous prime is 3157379. The next prime is 3157391. The reversal of 3157380 is 837513.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 1285956 = 1368^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 646 + ... + 2594.

It is an arithmetic number, because the mean of its divisors is an integer number (165165).

Almost surely, 23157380 is an apocalyptic number.

3157380 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 3157380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954950).

3157380 is an abundant number, since it is smaller than the sum of its proper divisors (6752520).

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

3157380 is a wasteful number, since it uses less digits than its factorization.

3157380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3157380 is about 1776.9017980744. The cubic root of 3157380 is about 146.7041111924.

The spelling of 3157380 in words is "three million, one hundred fifty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1949 3898 5847 7796 9745 11694 17541 19490 23388 29235 35082 38980 52623 58470 70164 87705 105246 116940 157869 175410 210492 263115 315738 350820 526230 631476 789345 1052460 1578690 3157380