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424170432 = 2634711689
BaseRepresentation
bin11001010010000…
…101001111000000
31002120011002110000
4121102011033000
51332041423212
6110031240000
713340250330
oct3122051700
91076132400
10424170432
111a8484584
12ba079000
1369b5502a
14404970c0
152738a1dc
hex194853c0

424170432 has 140 divisors (see below), whose sum is σ = 1437121840. Its totient is φ = 121181184.

The previous prime is 424170431. The next prime is 424170433. The reversal of 424170432 is 234071424.

It is an interprime number because it is at equal distance from previous prime (424170431) and next prime (424170433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 424170396 and 424170405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424170431) 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 19 ways as a sum of consecutive naturals, for example, 30444 + ... + 42132.

It is an arithmetic number, because the mean of its divisors is an integer number (10265156).

Almost surely, 2424170432 is an apocalyptic number.

424170432 is a gapful number since it is divisible by the number (42) 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 424170432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718560920).

424170432 is an abundant number, since it is smaller than the sum of its proper divisors (1012951408).

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

424170432 is a wasteful number, since it uses less digits than its factorization.

424170432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11720 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 424170432 is about 20595.3983209842. The cubic root of 424170432 is about 751.3577963686.

The spelling of 424170432 in words is "four hundred twenty-four million, one hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 11689 12096 18144 23378 35067 36288 46756 70134 81823 93512 105201 140268 163646 187024 210402 245469 280536 315603 327292 374048 420804 490938 561072 631206 654584 736407 748096 841608 946809 981876 1122144 1262412 1309168 1472814 1683216 1893618 1963752 2209221 2244288 2524824 2618336 2945628 3366432 3787236 3927504 4418442 5049648 5236672 5891256 6627663 6732864 7574472 7855008 8836884 10099296 11782512 13255326 15148944 15710016 17673768 20198592 23565024 26510652 30297888 35347536 47130048 53021304 60595776 70695072 106042608 141390144 212085216 424170432