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424242312 = 233136122291
BaseRepresentation
bin11001010010010…
…110110010001000
31002120021202001020
4121102112302020
51332101223222
6110032552440
713341000024
oct3122266210
91076252036
10424242312
111a852358a
12ba0b2720
1369b7b970
14404b5384
15273a165c
hex19496c88

424242312 has 64 divisors (see below), whose sum is σ = 1160967360. Its totient is φ = 128390400.

The previous prime is 424242227. The next prime is 424242323. The reversal of 424242312 is 213242424.

It is a super-2 number, since 2×4242423122 = 359963078582210688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7887 + ... + 30177.

It is an arithmetic number, because the mean of its divisors is an integer number (18140115).

Almost surely, 2424242312 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 424242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580483680).

424242312 is an abundant number, since it is smaller than the sum of its proper divisors (736725048).

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

424242312 is a wasteful number, since it uses less digits than its factorization.

424242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22374 (or 22370 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 424242312 is about 20597.1432970691. The cubic root of 424242312 is about 751.4002357152.

Adding to 424242312 its reverse (213242424), we get a palindrome (637484736).

The spelling of 424242312 in words is "four hundred twenty-four million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 3172 4758 6344 9516 19032 22291 44582 66873 89164 133746 178328 267492 289783 534984 579566 869349 1159132 1359751 1738698 2318264 2719502 3477396 4079253 5439004 6954792 8158506 10878008 16317012 17676763 32634024 35353526 53030289 70707052 106060578 141414104 212121156 424242312