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3140000460 = 2232533315237
BaseRepresentation
bin1011101100101000…
…1001101011001100
322002211110112212100
42323022021223030
522412320003320
61235325035100
7140545364202
oct27312115314
98084415770
103140000460
1113714a2903
127376b5a90
133b06c1b4c
1421b04b072
151359ea790
hexbb289acc

3140000460 has 72 divisors (see below), whose sum is σ = 9529346736. Its totient is φ = 836922240.

The previous prime is 3140000459. The next prime is 3140000467. The reversal of 3140000460 is 640000413.

3140000460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3140000467) 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, 596962 + ... + 602198.

It is an arithmetic number, because the mean of its divisors is an integer number (132352038).

Almost surely, 23140000460 is an apocalyptic number.

3140000460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3140000460 is an abundant number, since it is smaller than the sum of its proper divisors (6389346276).

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

3140000460 is a wasteful number, since it uses less digits than its factorization.

3140000460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8583 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3140000460 is about 56035.7070090135. The cubic root of 3140000460 is about 1464.3444220104.

Adding to 3140000460 its reverse (640000413), we get a palindrome (3780000873).

The spelling of 3140000460 in words is "three billion, one hundred forty million, four hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3331 5237 6662 9993 10474 13324 15711 16655 19986 20948 26185 29979 31422 33310 39972 47133 49965 52370 59958 62844 66620 78555 94266 99930 104740 119916 149895 157110 188532 199860 235665 299790 314220 471330 599580 942660 17444447 34888894 52333341 69777788 87222235 104666682 157000023 174444470 209333364 261666705 314000046 348888940 523333410 628000092 785000115 1046666820 1570000230 3140000460