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342064096 = 25112232167
BaseRepresentation
bin10100011000110…
…111101111100000
3212211122122201121
4110120313233200
51200032022341
653535342024
711322332263
oct2430675740
9784578647
10342064096
111660a4900
1296681914
1355b37cba
1433602cda
152006c4d1
hex14637be0

342064096 has 108 divisors (see below), whose sum is σ = 778442616. Its totient is φ = 147832960.

The previous prime is 342064091. The next prime is 342064111. The reversal of 342064096 is 690460243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342064091) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2048205 + ... + 2048371.

It is an arithmetic number, because the mean of its divisors is an integer number (7207802).

Almost surely, 2342064096 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 342064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389221308).

342064096 is an abundant number, since it is smaller than the sum of its proper divisors (436378520).

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

342064096 is a wasteful number, since it uses less digits than its factorization.

342064096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 342064096 is about 18494.9748850870. The cubic root of 342064096 is about 699.3627506644.

The spelling of 342064096 in words is "three hundred forty-two million, sixty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 121 167 176 184 242 253 334 352 368 484 506 529 668 736 968 1012 1058 1336 1837 1936 2024 2116 2672 2783 3674 3841 3872 4048 4232 5344 5566 5819 7348 7682 8096 8464 11132 11638 14696 15364 16928 20207 22264 23276 29392 30728 40414 42251 44528 46552 58784 61456 64009 80828 84502 88343 89056 93104 122912 128018 161656 169004 176686 186208 256036 323312 338008 353372 464761 512072 646624 676016 706744 929522 971773 1024144 1352032 1413488 1859044 1943546 2048288 2826976 3718088 3887092 7436176 7774184 10689503 14872352 15548368 21379006 31096736 42758012 85516024 171032048 342064096