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34214020392 = 23323173358277
BaseRepresentation
bin11111110111010100…
…001000010100101000
310021022102201022121110
4133313110020110220
51030032242123032
623415005110320
72320566242406
oct376724102450
9107272638543
1034214020392
1113567a16a12
12676a2583a0
1332c343c5a6
141927d90476
15d53a777cc
hex7f7508528

34214020392 has 64 divisors (see below), whose sum is σ = 89770135680. Its totient is φ = 10845731072.

The previous prime is 34214020343. The next prime is 34214020411. The reversal of 34214020392 is 29302041243.

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 15 ways as a sum of consecutive naturals, for example, 83643 + ... + 274634.

It is an arithmetic number, because the mean of its divisors is an integer number (1402658370).

Almost surely, 234214020392 is an apocalyptic number.

It is an amenable number.

34214020392 is an abundant number, since it is smaller than the sum of its proper divisors (55556115288).

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

34214020392 is a wasteful number, since it uses less digits than its factorization.

34214020392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358482 (or 358478 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 34214020392 in words is "thirty-four billion, two hundred fourteen million, twenty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 173 184 276 346 519 552 692 1038 1384 2076 3979 4152 7958 11937 15916 23874 31832 47748 95496 358277 716554 1074831 1433108 2149662 2866216 4299324 8240371 8598648 16480742 24721113 32961484 49442226 61981921 65922968 98884452 123963842 185945763 197768904 247927684 371891526 495855368 743783052 1425584183 1487566104 2851168366 4276752549 5702336732 8553505098 11404673464 17107010196 34214020392