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40234240 = 28517432
BaseRepresentation
bin1001100101111…
…0110100000000
32210201010000001
42121132310000
540244443430
63554205344
7665661664
oct231366400
983633001
1040234240
1120790642
1211583854
138449357
1454b48a4
1537eb3ca
hex265ed00

40234240 has 108 divisors (see below), whose sum is σ = 104470884. Its totient is φ = 14794752.

The previous prime is 40234219. The next prime is 40234241. The reversal of 40234240 is 4243204.

It can be written as a sum of positive squares in 2 ways, for example, as 23193856 + 17040384 = 4816^2 + 4128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40234241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 935659 + ... + 935701.

It is an arithmetic number, because the mean of its divisors is an integer number (967323).

Almost surely, 240234240 is an apocalyptic number.

40234240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52235442).

40234240 is an abundant number, since it is smaller than the sum of its proper divisors (64236644).

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

40234240 is an equidigital number, since it uses as much as digits as its factorization.

40234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 40234240 is about 6343.0465866175. The cubic root of 40234240 is about 342.6614650622.

Adding to 40234240 its reverse (4243204), we get a palindrome (44477444).

The spelling of 40234240 in words is "forty million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 64 68 80 85 86 128 136 160 170 172 215 256 272 320 340 344 430 544 640 680 688 731 860 1088 1280 1360 1376 1462 1720 1849 2176 2720 2752 2924 3440 3655 3698 4352 5440 5504 5848 6880 7310 7396 9245 10880 11008 11696 13760 14620 14792 18490 21760 23392 27520 29240 29584 31433 36980 46784 55040 58480 59168 62866 73960 93568 116960 118336 125732 147920 157165 187136 233920 236672 251464 295840 314330 467840 473344 502928 591680 628660 935680 1005856 1183360 1257320 2011712 2366720 2514640 4023424 5029280 8046848 10058560 20117120 40234240