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3351379140 = 22325106917417
BaseRepresentation
bin1100011111000001…
…1111110011000100
322122120012200220100
43013300133303010
523330423113030
61312315404100
7146023152444
oct30760376304
98576180810
103351379140
11146a84782a
12796453630
134154313a5
1423b152124
15149351360
hexc7c1fcc4

3351379140 has 72 divisors (see below), whose sum is σ = 10175943960. Its totient is φ = 892813824.

The previous prime is 3351379139. The next prime is 3351379181. The reversal of 3351379140 is 419731533.

3351379140 is a `hidden beast` number, since 33 + 513 + 79 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 996412356 + 2354966784 = 31566^2 + 48528^2 .

It is a super-2 number, since 2×33513791402 = 22463484280054279200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3351379095 and 3351379104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183712 + ... + 201128.

It is an arithmetic number, because the mean of its divisors is an integer number (141332555).

Almost surely, 23351379140 is an apocalyptic number.

3351379140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3351379140 is an abundant number, since it is smaller than the sum of its proper divisors (6824564820).

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

3351379140 is a wasteful number, since it uses less digits than its factorization.

3351379140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18501 (or 18496 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3351379140 is about 57891.0972430131. The cubic root of 3351379140 is about 1496.4924176372.

The spelling of 3351379140 in words is "three billion, three hundred fifty-one million, three hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1069 2138 3207 4276 5345 6414 9621 10690 12828 16035 17417 19242 21380 32070 34834 38484 48105 52251 64140 69668 87085 96210 104502 156753 174170 192420 209004 261255 313506 348340 522510 627012 783765 1045020 1567530 3135060 18618773 37237546 55856319 74475092 93093865 111712638 167568957 186187730 223425276 279281595 335137914 372375460 558563190 670275828 837844785 1117126380 1675689570 3351379140