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30345218970 = 235111734611153
BaseRepresentation
bin11100010000101101…
…110100101110011010
32220022210212211202220
4130100231310232122
5444121334001340
621535043204510
72122661051103
oct342055645632
986283784686
1030345218970
11119620a3170
125a6a676736
132b27a66091
14167c22d3aa
15bc90baed0
hex710b74b9a

30345218970 has 128 divisors (see below), whose sum is σ = 80151337728. Its totient is φ = 7291699200.

The previous prime is 30345218957. The next prime is 30345218989. The reversal of 30345218970 is 7981254303.

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, 26317914 + ... + 26319066.

It is an arithmetic number, because the mean of its divisors is an integer number (626182326).

Almost surely, 230345218970 is an apocalyptic number.

30345218970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30345218970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075668864).

30345218970 is an abundant number, since it is smaller than the sum of its proper divisors (49806118758).

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

30345218970 is a wasteful number, since it uses less digits than its factorization.

30345218970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808.

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 30345218970 in words is "thirty billion, three hundred forty-five million, two hundred eighteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 173 330 346 461 519 865 922 1038 1153 1383 1730 1903 2305 2306 2595 2766 3459 3806 4610 5071 5190 5709 5765 6915 6918 9515 10142 11418 11530 12683 13830 15213 17295 19030 25355 25366 28545 30426 34590 38049 50710 57090 63415 76065 76098 79753 126830 152130 159506 190245 199469 239259 380490 398765 398938 478518 531533 598407 797530 877283 997345 1063066 1196295 1196814 1594599 1754566 1994690 2194159 2392590 2631849 2657665 2992035 3189198 4386415 4388318 5263698 5315330 5846863 5984070 6582477 7972995 8772830 10970795 11693726 13159245 13164954 15945990 17540589 21941590 26318490 29234315 32912385 35081178 58468630 65824770 87702945 91955209 175405890 183910418 275865627 459776045 551731254 919552090 1011507299 1379328135 2023014598 2758656270 3034521897 5057536495 6069043794 10115072990 15172609485 30345218970