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3347813142 = 232738928627
BaseRepresentation
bin1100011110001011…
…1001001100010110
322122022111112021100
43013202321030112
523324020010032
61312111130530
7145650641112
oct30742711426
98568445240
103347813142
111468831623
12795213a46
1341478322b
1423a8a4742
15148d9997c
hexc78b9316

3347813142 has 48 divisors (see below), whose sum is σ = 7435836720. Its totient is φ = 1088246016.

The previous prime is 3347813141. The next prime is 3347813159. The reversal of 3347813142 is 2413187433.

3347813142 is a `hidden beast` number, since 33 + 478 + 13 + 142 = 666.

3347813142 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 is a super-2 number, since 2×33478131422 = 22415705667495824328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3347813097 and 3347813106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3347813141) 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, 102633 + ... + 131259.

It is an arithmetic number, because the mean of its divisors is an integer number (154913265).

Almost surely, 23347813142 is an apocalyptic number.

3347813142 is an abundant number, since it is smaller than the sum of its proper divisors (4088023578).

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

3347813142 is a wasteful number, since it uses less digits than its factorization.

3347813142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28797 (or 28794 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3347813142 is about 57860.2898540960. The cubic root of 3347813142 is about 1495.9614538549.

The spelling of 3347813142 in words is "three billion, three hundred forty-seven million, eight hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 73 89 146 178 219 267 438 534 657 801 1314 1602 6497 12994 19491 28627 38982 57254 58473 85881 116946 171762 257643 515286 2089771 2547803 4179542 5095606 6269313 7643409 12538626 15286818 18807939 22930227 37615878 45860454 185989619 371979238 557968857 1115937714 1673906571 3347813142