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344342424 = 23337894357
BaseRepresentation
bin10100100001100…
…011111110011000
3212222221102000010
4110201203332120
51201122424144
654100241520
711350601526
oct2441437630
9788842003
10344342424
11167410618
12973a02a0
135645501a
1433a37316
152036c5b9
hex14863f98

344342424 has 64 divisors (see below), whose sum is σ = 894261600. Its totient is φ = 110398464.

The previous prime is 344342423. The next prime is 344342437. The reversal of 344342424 is 424243443.

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

It is a junction number, because it is equal to n+sod(n) for n = 344342391 and 344342400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344342423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76854 + ... + 81210.

Almost surely, 2344342424 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 344342424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447130800).

344342424 is an abundant number, since it is smaller than the sum of its proper divisors (549919176).

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

344342424 is a wasteful number, since it uses less digits than its factorization.

344342424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4488 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 344342424 is about 18556.4658273067. The cubic root of 344342424 is about 700.9120248190.

Adding to 344342424 its reverse (424243443), we get a palindrome (768585867).

The spelling of 344342424 in words is "three hundred forty-four million, three hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 89 111 148 178 222 267 296 356 444 534 712 888 1068 2136 3293 4357 6586 8714 9879 13071 13172 17428 19758 26142 26344 34856 39516 52284 79032 104568 161209 322418 387773 483627 644836 775546 967254 1163319 1289672 1551092 1934508 2326638 3102184 3869016 4653276 9306552 14347601 28695202 43042803 57390404 86085606 114780808 172171212 344342424