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404233240 = 23583313389
BaseRepresentation
bin11000000110000…
…001110000011000
31001011122011202111
4120012001300120
51311440430430
6104040042104
713005632365
oct3006016030
91034564674
10404233240
111981a7464
12b3463334
1365994388
143b98746c
152574cc2a
hex18181c18

404233240 has 64 divisors (see below), whose sum is σ = 925797600. Its totient is φ = 158825472.

The previous prime is 404233237. The next prime is 404233243. The reversal of 404233240 is 42332404.

It is an interprime number because it is at equal distance from previous prime (404233237) and next prime (404233243).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404233243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038966 + ... + 1039354.

Almost surely, 2404233240 is an apocalyptic number.

404233240 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 404233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462898800).

404233240 is an abundant number, since it is smaller than the sum of its proper divisors (521564360).

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

404233240 is a wasteful number, since it uses less digits than its factorization.

404233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 792 counting only the distinct ones).

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

The square root of 404233240 is about 20105.5524669182. The cubic root of 404233240 is about 739.3964155359.

Adding to 404233240 its reverse (42332404), we get a palindrome (446565644).

The spelling of 404233240 in words is "four hundred four million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 313 332 389 415 626 664 778 830 1252 1556 1565 1660 1945 2504 3112 3130 3320 3890 6260 7780 12520 15560 25979 32287 51958 64574 103916 121757 129148 129895 161435 207832 243514 258296 259790 322870 487028 519580 608785 645740 974056 1039160 1217570 1291480 2435140 4870280 10105831 20211662 40423324 50529155 80846648 101058310 202116620 404233240