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40321416 = 23317372671
BaseRepresentation
bin1001100111010…
…0000110001000
32210212112120210
42121310012020
540310241131
64000121120
7666504102
oct231640610
983775523
1040321416
1120840093
12116061a0
138479c35
1454d8572
153817146
hex2674188

40321416 has 64 divisors (see below), whose sum is σ = 109658880. Its totient is φ = 12303360.

The previous prime is 40321403. The next prime is 40321423. The reversal of 40321416 is 61412304.

It is a junction number, because it is equal to n+sod(n) for n = 40321392 and 40321401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13761 + ... + 16431.

It is an arithmetic number, because the mean of its divisors is an integer number (1713420).

Almost surely, 240321416 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 40321416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54829440).

40321416 is an abundant number, since it is smaller than the sum of its proper divisors (69337464).

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

40321416 is a wasteful number, since it uses less digits than its factorization.

40321416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40321416 is about 6349.9146450956. The cubic root of 40321416 is about 342.9087694084.

The spelling of 40321416 in words is "forty million, three hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 204 222 296 408 444 629 888 1258 1887 2516 2671 3774 5032 5342 7548 8013 10684 15096 16026 21368 32052 45407 64104 90814 98827 136221 181628 197654 272442 296481 363256 395308 544884 592962 790616 1089768 1185924 1680059 2371848 3360118 5040177 6720236 10080354 13440472 20160708 40321416