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34297620102 = 23323318910009
BaseRepresentation
bin11111111100010011…
…000010011010000110
310021112021000121212000
4133330103002122012
51030220142320402
623431153010130
72322632650344
oct377423023206
9107467017760
1034297620102
1113600126689
126792253946
133307860285
141935112994
15d5b08cc1c
hex7fc4c2686

34297620102 has 128 divisors (see below), whose sum is σ = 83026944000. Its totient is φ = 10462763520.

The previous prime is 34297620089. The next prime is 34297620151. The reversal of 34297620102 is 20102679243.

34297620102 is a `hidden beast` number, since 3 + 4 + 29 + 7 + 620 + 1 + 0 + 2 = 666.

It is a super-2 number, since 2×342976201022 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3421674 + ... + 3431682.

It is an arithmetic number, because the mean of its divisors is an integer number (648648000).

Almost surely, 234297620102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34297620102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41513472000).

34297620102 is an abundant number, since it is smaller than the sum of its proper divisors (48729323898).

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

34297620102 is a wasteful number, since it uses less digits than its factorization.

34297620102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10163 (or 10157 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 34297620102 in words is "thirty-four billion, two hundred ninety-seven million, six hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 89 93 138 178 186 207 267 279 414 534 558 621 713 801 837 1242 1426 1602 1674 2047 2139 2403 2759 4094 4278 4806 5518 6141 6417 8277 10009 12282 12834 16554 18423 19251 20018 24831 30027 36846 38502 49662 55269 60054 63457 74493 90081 110538 126914 148986 180162 190371 230207 270243 310279 380742 460414 540486 571113 620558 690621 890801 930837 1142226 1381242 1713339 1781602 1861674 2071863 2672403 2792511 3426678 4143726 5344806 5585022 6215589 7136417 8017209 8377533 12431178 14272834 16034418 16755066 20488423 21409251 24051627 27614831 40976846 42818502 48103254 55229662 61465269 64227753 82844493 122930538 128455506 165688986 184395807 192683259 248533479 368791614 385366518 497066958 553187421 635141113 745600437 1106374842 1270282226 1491200874 1905423339 3810846678 5716270017 11432540034 17148810051 34297620102