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404303240 = 235113129641
BaseRepresentation
bin11000000110010…
…010110110001000
31001011202201210002
4120012102312020
51312000200430
6104041342132
713006343435
oct3006226610
91034681702
10404303240
11198245010
12b3497948
13659ba1b3
143b9a4b8c
1525763845
hex18192d88

404303240 has 64 divisors (see below), whose sum is σ = 1024427520. Its totient is φ = 142272000.

The previous prime is 404303213. The next prime is 404303267. The reversal of 404303240 is 42303404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404303213) and next prime (404303267).

It is a super-2 number, since 2×4043032402 = 326922219748995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1181 + ... + 28460.

It is an arithmetic number, because the mean of its divisors is an integer number (16006680).

Almost surely, 2404303240 is an apocalyptic number.

404303240 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 404303240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512213760).

404303240 is an abundant number, since it is smaller than the sum of its proper divisors (620124280).

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

404303240 is a wasteful number, since it uses less digits than its factorization.

404303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29694 (or 29690 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 404303240 is about 20107.2932042083. The cubic root of 404303240 is about 739.4390928458.

Adding to 404303240 its reverse (42303404), we get a palindrome (446606644).

The spelling of 404303240 in words is "four hundred four million, three hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 29641 59282 118564 148205 237128 296410 326051 592820 652102 918871 1185640 1304204 1630255 1837742 2608408 3260510 3675484 4594355 6521020 7350968 9188710 10107581 13042040 18377420 20215162 36754840 40430324 50537905 80860648 101075810 202151620 404303240