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40404240 = 24325173301
BaseRepresentation
bin1001101000100…
…0010100010000
32211000202012100
42122020110100
540320413430
64002000400
71000300422
oct232102420
984022170
1040404240
1120897338
1211646100
1384a8846
14551a812
153831960
hex2688510

40404240 has 120 divisors (see below), whose sum is σ = 143716248. Its totient is φ = 10137600.

The previous prime is 40404239. The next prime is 40404269. The reversal of 40404240 is 4240404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 36578304 = 1956^2 + 6048^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10590 + ... + 13890.

Almost surely, 240404240 is an apocalyptic number.

40404240 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 40404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71858124).

40404240 is an abundant number, since it is smaller than the sum of its proper divisors (103312008).

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

40404240 is a wasteful number, since it uses less digits than its factorization.

40404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 40404240 is about 6356.4329619685. The cubic root of 40404240 is about 343.1433978410.

Adding to 40404240 its reverse (4240404), we get a palindrome (44644644).

The spelling of 40404240 in words is "forty million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 3301 4080 6120 6602 9903 12240 13204 16505 19806 26408 29709 33010 39612 49515 52816 56117 59418 66020 79224 99030 112234 118836 132040 148545 158448 168351 198060 224468 237672 264080 280585 297090 336702 396120 448936 475344 505053 561170 594180 673404 792240 841755 897872 1010106 1122340 1188360 1346808 1683510 2020212 2244680 2376720 2525265 2693616 3367020 4040424 4489360 5050530 6734040 8080848 10101060 13468080 20202120 40404240