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34212276 = 223271271069
BaseRepresentation
bin1000001010000…
…0100110110100
32101101011102100
42002200212310
532224243101
63221142100
7563541150
oct202404664
971334370
1034212276
111834820a
12b55a930
13711b367
144788060
15300be86
hex20a09b4

34212276 has 72 divisors (see below), whose sum is σ = 99706880. Its totient is φ = 9688896.

The previous prime is 34212259. The next prime is 34212289. The reversal of 34212276 is 67221243.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31470 + ... + 32538.

Almost surely, 234212276 is an apocalyptic number.

34212276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34212276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49853440).

34212276 is an abundant number, since it is smaller than the sum of its proper divisors (65494604).

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

34212276 is a wasteful number, since it uses less digits than its factorization.

34212276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1208 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 34212276 is about 5849.1260885708. The cubic root of 34212276 is about 324.6339895368.

The spelling of 34212276 in words is "thirty-four million, two hundred twelve thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1069 1143 1524 1778 2138 2286 2667 3207 3556 4276 4572 5334 6414 7483 8001 9621 10668 12828 14966 16002 19242 22449 29932 32004 38484 44898 67347 89796 134694 135763 269388 271526 407289 543052 814578 950341 1221867 1629156 1900682 2443734 2851023 3801364 4887468 5702046 8553069 11404092 17106138 34212276