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34145766 = 233632329
BaseRepresentation
bin1000001001000…
…0010111100110
32101020210012000
42002100113212
532220131031
63215510130
7563143224
oct202202746
971223160
1034145766
1118302246
12b528346
1370c6cc5
14476bb14
152ee73e6
hex20905e6

34145766 has 16 divisors (see below), whose sum is σ = 75879600. Its totient is φ = 11381904.

The previous prime is 34145759. The next prime is 34145779. The reversal of 34145766 is 66754143.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34145766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316111 + ... + 316218.

It is an arithmetic number, because the mean of its divisors is an integer number (4742475).

Almost surely, 234145766 is an apocalyptic number.

34145766 is an abundant number, since it is smaller than the sum of its proper divisors (41733834).

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

34145766 is a wasteful number, since it uses less digits than its factorization.

34145766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632340 (or 632334 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 34145766 is about 5843.4378579737. The cubic root of 34145766 is about 324.4234860196.

It can be divided in two parts, 3414 and 5766, that added together give a triangular number (9180 = T135).

The spelling of 34145766 in words is "thirty-four million, one hundred forty-five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 632329 1264658 1896987 3793974 5690961 11381922 17072883 34145766