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34314786 = 23311411409
BaseRepresentation
bin1000001011100…
…1101000100010
32101120101001000
42002321220202
532241033121
63223252430
7564446052
oct202715042
971511030
1034314786
1118408230
12b5aa116
137155c0c
1447b3562
15302c526
hex20b9a22

34314786 has 64 divisors (see below), whose sum is σ = 85276800. Its totient is φ = 10137600.

The previous prime is 34314769. The next prime is 34314803. The reversal of 34314786 is 68741343.

It is an interprime number because it is at equal distance from previous prime (34314769) and next prime (34314803).

It is a self number, because there is not a number n which added to its sum of digits gives 34314786.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23650 + ... + 25058.

It is an arithmetic number, because the mean of its divisors is an integer number (1332450).

Almost surely, 234314786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42638400).

34314786 is an abundant number, since it is smaller than the sum of its proper divisors (50962014).

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

34314786 is a wasteful number, since it uses less digits than its factorization.

34314786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1466 counting only the distinct ones).

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

The square root of 34314786 is about 5857.8823818851. The cubic root of 34314786 is about 324.9578990829.

It can be divided in two parts, 343 and 14786, that added together give a square (15129 = 1232).

The spelling of 34314786 in words is "thirty-four million, three hundred fourteen thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 369 451 594 738 902 1107 1353 1409 2214 2706 2818 4059 4227 8118 8454 12177 12681 15499 24354 25362 30998 38043 46497 57769 76086 92994 115538 139491 173307 278982 346614 418473 519921 635459 836946 1039842 1270918 1559763 1906377 3119526 3812754 5719131 11438262 17157393 34314786