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404253330 = 2351329311153
BaseRepresentation
bin11000000110000…
…110101010010010
31001011200012022120
4120012012222102
51311442101310
6104040315110
713006045065
oct3006065222
91034605276
10404253330
11198210568
12b3472a96
13659a0570
143b9908dc
1525753b70
hex18186a92

404253330 has 128 divisors (see below), whose sum is σ = 1116702720. Its totient is φ = 92897280.

The previous prime is 404253307. The next prime is 404253337. The reversal of 404253330 is 33352404.

It is a self number, because there is not a number n which added to its sum of digits gives 404253330.

It is not an unprimeable number, because it can be changed into a prime (404253337) 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 63 ways as a sum of consecutive naturals, for example, 350034 + ... + 351186.

It is an arithmetic number, because the mean of its divisors is an integer number (8724240).

Almost surely, 2404253330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404253330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558351360).

404253330 is an abundant number, since it is smaller than the sum of its proper divisors (712449390).

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

404253330 is a wasteful number, since it uses less digits than its factorization.

404253330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236.

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 404253330 is about 20106.0520739403. The cubic root of 404253330 is about 739.4086644279.

The spelling of 404253330 in words is "four hundred four million, two hundred fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 31 39 58 62 65 78 87 93 130 145 155 174 186 195 290 310 377 390 403 435 465 754 806 870 899 930 1131 1153 1209 1798 1885 2015 2262 2306 2418 2697 3459 3770 4030 4495 5394 5655 5765 6045 6918 8990 11310 11530 11687 12090 13485 14989 17295 23374 26970 29978 33437 34590 35061 35743 44967 58435 66874 70122 71486 74945 89934 100311 107229 116870 149890 167185 175305 178715 200622 214458 224835 334370 350610 357430 434681 449670 464659 501555 536145 869362 929318 1003110 1036547 1072290 1304043 1393977 2073094 2173405 2323295 2608086 2787954 3109641 4346810 4646590 5182735 6219282 6520215 6969885 10365470 13040430 13475111 13939770 15548205 26950222 31096410 40425333 67375555 80850666 134751110 202126665 404253330