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40342432 = 2513372621
BaseRepresentation
bin1001100111100…
…1001110100000
32210220121102011
42121321032200
540311424212
64000402304
7666622264
oct231711640
983817364
1040342432
1120854959
1211616394
138486680
1455020a4
15381d4a7
hex26793a0

40342432 has 48 divisors (see below), whose sum is σ = 87878952. Its totient is φ = 18109440.

The previous prime is 40342429. The next prime is 40342433. The reversal of 40342432 is 23424304.

It can be written as a sum of positive squares in 4 ways, for example, as 38987536 + 1354896 = 6244^2 + 1164^2 .

It is not an unprimeable number, because it can be changed into a prime (40342433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14082 + ... + 16702.

Almost surely, 240342432 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 40342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43939476).

40342432 is an abundant number, since it is smaller than the sum of its proper divisors (47536520).

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

40342432 is a wasteful number, since it uses less digits than its factorization.

40342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 40342432 is about 6351.5692549165. The cubic root of 40342432 is about 342.9683350993.

Adding to 40342432 its reverse (23424304), we get a palindrome (63766736).

The spelling of 40342432 in words is "forty million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 416 481 592 962 1184 1924 2621 3848 5242 7696 10484 15392 20968 34073 41936 68146 83872 96977 136292 193954 272584 387908 545168 775816 1090336 1260701 1551632 2521402 3103264 5042804 10085608 20171216 40342432