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3031938180 = 2232535347717
BaseRepresentation
bin1011010010110111…
…1011010010000100
321211022010102021200
42310231323102010
522202134010210
61220504542500
7135064022625
oct26455732204
97738112250
103031938180
1113164a5037
12707481a30
133941b777b
1420a95ba4c
1512b2a20c0
hexb4b7b484

3031938180 has 72 divisors (see below), whose sum is σ = 9223125912. Its totient is φ = 806209536.

The previous prime is 3031938157. The next prime is 3031938187. The reversal of 3031938180 is 818391303.

3031938180 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77580864 + 2954357316 = 8808^2 + 54354^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3031938187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39682 + ... + 87398.

It is an arithmetic number, because the mean of its divisors is an integer number (128098971).

Almost surely, 23031938180 is an apocalyptic number.

3031938180 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 3031938180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611562956).

3031938180 is an abundant number, since it is smaller than the sum of its proper divisors (6191187732).

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

3031938180 is a wasteful number, since it uses less digits than its factorization.

3031938180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48085 (or 48080 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3031938180 is about 55063.0382380050. The cubic root of 3031938180 is about 1447.3496062886.

The spelling of 3031938180 in words is "three billion, thirty-one million, nine hundred thirty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 10590 12708 15885 21180 31770 47717 63540 95434 143151 190868 238585 286302 429453 477170 572604 715755 858906 954340 1431510 1717812 2147265 2863020 4294530 8589060 16844101 33688202 50532303 67376404 84220505 101064606 151596909 168441010 202129212 252661515 303193818 336882020 505323030 606387636 757984545 1010646060 1515969090 3031938180