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342066032 = 24711243587
BaseRepresentation
bin10100011000111…
…000001101110000
3212211122202101022
4110120320031300
51200032103112
653535355012
711322341030
oct2430701560
9784582338
10342066032
111660a6300
1296682a68
1355b38b49
14336038c0
152006cd72
hex14638370

342066032 has 120 divisors (see below), whose sum is σ = 853362048. Its totient is φ = 129951360.

The previous prime is 342066031. The next prime is 342066041. The reversal of 342066032 is 230660243.

It is a junction number, because it is equal to n+sod(n) for n = 342065992 and 342066010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342066031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582443 + ... + 583029.

Almost surely, 2342066032 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 342066032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426681024).

342066032 is an abundant number, since it is smaller than the sum of its proper divisors (511296016).

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

342066032 is a wasteful number, since it uses less digits than its factorization.

342066032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 342066032 is about 18495.0272235539. The cubic root of 342066032 is about 699.3640700699.

The spelling of 342066032 in words is "three hundred forty-two million, sixty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 43 44 56 77 86 88 112 121 154 172 176 242 301 308 344 473 484 587 602 616 688 847 946 968 1174 1204 1232 1694 1892 1936 2348 2408 3311 3388 3784 4109 4696 4816 5203 6457 6622 6776 7568 8218 9392 10406 12914 13244 13552 16436 20812 25241 25828 26488 32872 36421 41624 45199 50482 51656 52976 65744 71027 72842 83248 90398 100964 103312 142054 145684 176687 180796 201928 277651 284108 291368 353374 361592 403856 497189 555302 568216 582736 706748 723184 994378 1110604 1136432 1413496 1943557 1988756 2221208 2826992 3054161 3887114 3977512 4442416 6108322 7774228 7955024 12216644 15548456 21379127 24433288 31096912 42758254 48866576 85516508 171033016 342066032