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400424430 = 235719100357
BaseRepresentation
bin10111110111011…
…111110111101110
31000220110200001110
4113313133313232
51310002040210
6103422252450
712631360110
oct2767376756
91026420043
10400424430
1119603588a
12b2127126
1364c5c843
143b2753b0
1525249420
hex17ddfdee

400424430 has 64 divisors (see below), whose sum is σ = 1156124160. Its totient is φ = 86707584.

The previous prime is 400424407. The next prime is 400424441. The reversal of 400424430 is 34424004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400424397 and 400424406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46189 + ... + 54168.

It is an arithmetic number, because the mean of its divisors is an integer number (18064440).

Almost surely, 2400424430 is an apocalyptic number.

400424430 is an abundant number, since it is smaller than the sum of its proper divisors (755699730).

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

400424430 is a wasteful number, since it uses less digits than its factorization.

400424430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100393.

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

The square root of 400424430 is about 20010.6079367919. The cubic root of 400424430 is about 737.0668098577.

Adding to 400424430 its reverse (34424004), we get a palindrome (434848434).

The spelling of 400424430 in words is "four hundred million, four hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3990 100357 200714 301071 501785 602142 702499 1003570 1404998 1505355 1906783 2107497 3010710 3512495 3813566 4214994 5720349 7024990 9533915 10537485 11440698 13347481 19067830 21074970 26694962 28601745 40042443 57203490 66737405 80084886 133474810 200212215 400424430