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40766634 = 2322922693
BaseRepresentation
bin1001101110000…
…0110010101010
32211201011022100
42123200302222
540414013014
64013434230
71003340106
oct233406252
984634270
1040766634
1121014637
121179b976
1385a478c
1455b2906
1538a4009
hex26e0caa

40766634 has 36 divisors (see below), whose sum is σ = 91512486. Its totient is φ = 13115424.

The previous prime is 40766617. The next prime is 40766651. The reversal of 40766634 is 43666704.

It is an interprime number because it is at equal distance from previous prime (40766617) and next prime (40766651).

It can be written as a sum of positive squares in 3 ways, for example, as 34187409 + 6579225 = 5847^2 + 2565^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13792 + ... + 16484.

Almost surely, 240766634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40766634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45756243).

40766634 is an abundant number, since it is smaller than the sum of its proper divisors (50745852).

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

40766634 is a wasteful number, since it uses less digits than its factorization.

40766634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 40766634 is about 6384.8754099043. The cubic root of 40766634 is about 344.1662539169.

The spelling of 40766634 in words is "forty million, seven hundred sixty-six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 841 1682 2523 2693 5046 5386 7569 8079 15138 16158 24237 48474 78097 156194 234291 468582 702873 1405746 2264813 4529626 6794439 13588878 20383317 40766634