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40340916 = 223573112
BaseRepresentation
bin1001100111100…
…0110110110100
32210220112100000
42121320312310
540311402131
64000351300
7666615000
oct231706664
983815300
1040340916
1120853800
1211615530
138485a85
145501700
15381cce6
hex2678db4

40340916 has 216 divisors, whose sum is σ = 135553600. Its totient is φ = 10478160.

The previous prime is 40340903. The next prime is 40340953. The reversal of 40340916 is 61904304.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40340916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3667351 + ... + 3667361.

Almost surely, 240340916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40340916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67776800).

40340916 is an abundant number, since it is smaller than the sum of its proper divisors (95212684).

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

40340916 is a wasteful number, since it uses less digits than its factorization.

40340916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40340916 is about 6351.4499132088. The cubic root of 40340916 is about 342.9640389898.

The spelling of 40340916 in words is "forty million, three hundred forty thousand, nine hundred sixteen".