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424434140 = 2251329181311
BaseRepresentation
bin11001010011000…
…101100111011100
31002120122111011222
4121103011213130
51332123343030
6110041032512
713342426214
oct3123054734
91076574158
10424434140
111a8644719
12ba185738
1369c18080
1440525244
15273dd3e5
hex194c59dc

424434140 has 96 divisors (see below), whose sum is σ = 1001669760. Its totient is φ = 149990400.

The previous prime is 424434133. The next prime is 424434149. The reversal of 424434140 is 41434424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424434149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364585 + ... + 1364895.

It is an arithmetic number, because the mean of its divisors is an integer number (10434060).

Almost surely, 2424434140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500834880).

424434140 is an abundant number, since it is smaller than the sum of its proper divisors (577235620).

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

424434140 is a wasteful number, since it uses less digits than its factorization.

424434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 424434140 is about 20601.7994359716. The cubic root of 424434140 is about 751.5134712262.

Adding to 424434140 its reverse (41434424), we get a palindrome (465868564).

The spelling of 424434140 in words is "four hundred twenty-four million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 181 260 290 311 362 377 580 622 724 754 905 1244 1508 1555 1810 1885 2353 3110 3620 3770 4043 4706 5249 6220 7540 8086 9019 9412 10498 11765 16172 18038 20215 20996 23530 26245 36076 40430 45095 47060 52490 56291 68237 80860 90190 104980 112582 117247 136474 180380 225164 234494 272948 281455 341185 468988 562910 586235 682370 731783 1125820 1172470 1364740 1463566 1632439 2344940 2927132 3264878 3658915 6529756 7317830 8162195 14635660 16324390 21221707 32648780 42443414 84886828 106108535 212217070 424434140