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34806636 = 223223127331
BaseRepresentation
bin1000010011000…
…1101101101100
32102111100201200
42010301231230
532402303021
63242005500
7601565034
oct204615554
972440650
1034806636
1118713817
12b7a6890
137298a57
1448a08c4
1530c8126
hex2131b6c

34806636 has 72 divisors (see below), whose sum is σ = 92811264. Its totient is φ = 10977120.

The previous prime is 34806623. The next prime is 34806679. The reversal of 34806636 is 63660843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34806636.

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, 104991 + ... + 105321.

Almost surely, 234806636 is an apocalyptic number.

34806636 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 34806636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46405632).

34806636 is an abundant number, since it is smaller than the sum of its proper divisors (58004628).

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

34806636 is a wasteful number, since it uses less digits than its factorization.

34806636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 34806636 is about 5899.7149083663. The cubic root of 34806636 is about 326.5031311578.

The spelling of 34806636 in words is "thirty-four million, eight hundred six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 127 138 207 254 276 331 381 414 508 662 762 828 993 1143 1324 1524 1986 2286 2921 2979 3972 4572 5842 5958 7613 8763 11684 11916 15226 17526 22839 26289 30452 35052 42037 45678 52578 68517 84074 91356 105156 126111 137034 168148 252222 274068 378333 504444 756666 966851 1513332 1933702 2900553 3867404 5801106 8701659 11602212 17403318 34806636