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40166434 = 27112131181
BaseRepresentation
bin1001100100111…
…0010000100010
32210120122222201
42121032100202
540240311214
63552523414
7665260210
oct231162042
983518881
1040166434
1120744700
121155056a
138424529
145497cb0
1537d6274
hex264e422

40166434 has 48 divisors (see below), whose sum is σ = 76684608. Its totient is φ = 15444000.

The previous prime is 40166431. The next prime is 40166449. The reversal of 40166434 is 43466104.

It is a happy number.

It is a super-2 number, since 2×401664342 = 3226684840552712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40166431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221824 + ... + 222004.

It is an arithmetic number, because the mean of its divisors is an integer number (1597596).

Almost surely, 240166434 is an apocalyptic number.

40166434 is the 3388-th nonagonal number.

40166434 is a deficient number, since it is larger than the sum of its proper divisors (36518174).

40166434 is a wasteful number, since it uses less digits than its factorization.

40166434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 40166434 is about 6337.6994248702. The cubic root of 40166434 is about 342.4688632074.

The spelling of 40166434 in words is "forty million, one hundred sixty-six thousand, four hundred thirty-four".

Divisors: 1 2 7 11 14 22 77 121 131 154 181 242 262 362 847 917 1267 1441 1694 1834 1991 2534 2882 3982 10087 13937 15851 20174 21901 23711 27874 31702 43802 47422 110957 153307 165977 221914 260821 306614 331954 521642 1825747 2869031 3651494 5738062 20083217 40166434