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40305438 = 235239347
BaseRepresentation
bin1001100111000…
…0001100011110
32210211201200000
42121300030132
540304233223
63555515130
7666406365
oct231601436
983751600
1040305438
112082a088
12115b8aa6
138472894
1454d27dc
153812543
hex267031e

40305438 has 48 divisors (see below), whose sum is σ = 91203840. Its totient is φ = 13340376.

The previous prime is 40305409. The next prime is 40305443. The reversal of 40305438 is 83450304.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115981 + ... + 116327.

It is an arithmetic number, because the mean of its divisors is an integer number (1900080).

Almost surely, 240305438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40305438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45601920).

40305438 is an abundant number, since it is smaller than the sum of its proper divisors (50898402).

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

40305438 is a wasteful number, since it uses less digits than its factorization.

40305438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40305438 is about 6348.6563932851. The cubic root of 40305438 is about 342.8634690797.

The spelling of 40305438 in words is "forty million, three hundred five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 239 243 347 478 486 694 717 1041 1434 2082 2151 3123 4302 6246 6453 9369 12906 18738 19359 28107 38718 56214 58077 82933 84321 116154 165866 168642 248799 497598 746397 1492794 2239191 4478382 6717573 13435146 20152719 40305438