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400023144 = 233311511609
BaseRepresentation
bin10111110101111…
…101111001101000
31000212201021121000
4113311331321220
51304401220034
6103405515000
712625066143
oct2765757150
91025637530
10400023144
11195891344
12b1b72a60
1364b4bcb1
143b1ad05a
15251ba599
hex17d7de68

400023144 has 64 divisors (see below), whose sum is σ = 1112832000. Its totient is φ = 133142400.

The previous prime is 400023139. The next prime is 400023161. The reversal of 400023144 is 441320004.

It is a super-3 number, since 3×4000231443 (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247812 + ... + 249420.

It is an arithmetic number, because the mean of its divisors is an integer number (17388000).

Almost surely, 2400023144 is an apocalyptic number.

It is an amenable number.

400023144 is an abundant number, since it is smaller than the sum of its proper divisors (712808856).

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

400023144 is a wasteful number, since it uses less digits than its factorization.

400023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400023144 is about 20000.5785916308. The cubic root of 400023144 is about 736.8205099915.

Adding to 400023144 its reverse (441320004), we get a palindrome (841343148).

The spelling of 400023144 in words is "four hundred million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1151 1609 2302 3218 3453 4604 4827 6436 6906 9208 9654 10359 12872 13812 14481 19308 20718 27624 28962 31077 38616 41436 43443 57924 62154 82872 86886 115848 124308 173772 248616 347544 1851959 3703918 5555877 7407836 11111754 14815672 16667631 22223508 33335262 44447016 50002893 66670524 100005786 133341048 200011572 400023144