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404004342 = 23761712221
BaseRepresentation
bin11000000101001…
…001110111110110
31001011012112202210
4120011021313312
51311411114332
6104031114250
713003660140
oct3005116766
91034175683
10404004342
11198060495
12b3372986
1365914131
143b927c90
1525704ecc
hex18149df6

404004342 has 64 divisors (see below), whose sum is σ = 952224768. Its totient is φ = 111888000.

The previous prime is 404004317. The next prime is 404004373. The reversal of 404004342 is 243400404.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180792 + ... + 183012.

It is an arithmetic number, because the mean of its divisors is an integer number (14878512).

Almost surely, 2404004342 is an apocalyptic number.

404004342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 404004342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476112384).

404004342 is an abundant number, since it is smaller than the sum of its proper divisors (548220426).

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

404004342 is a wasteful number, since it uses less digits than its factorization.

404004342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 404004342 is about 20099.8592532386. The cubic root of 404004342 is about 739.2568275461.

Adding to 404004342 its reverse (243400404), we get a palindrome (647404746).

The spelling of 404004342 in words is "four hundred four million, four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 61 71 122 142 183 213 366 426 427 497 854 994 1281 1491 2221 2562 2982 4331 4442 6663 8662 12993 13326 15547 25986 30317 31094 46641 60634 90951 93282 135481 157691 181902 270962 315382 406443 473073 812886 946146 948367 1103837 1896734 2207674 2845101 3311511 5690202 6623022 9619151 19238302 28857453 57714906 67334057 134668114 202002171 404004342