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332000334 = 232374311593
BaseRepresentation
bin10011110010011…
…110110001001110
3212010201100211200
4103302132301032
51134443002314
652535530330
711140646001
oct2362366116
9763640750
10332000334
11160450846
12932299a6
1353a23403
1432143538
151e230709
hex13c9ec4e

332000334 has 48 divisors (see below), whose sum is σ = 756021552. Its totient is φ = 105162624.

The previous prime is 332000309. The next prime is 332000341. The reversal of 332000334 is 433000233.

332000334 is a `hidden beast` number, since 332 + 0 + 0 + 0 + 334 = 666.

It is a super-3 number, since 3×3320003343 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22842 + ... + 34434.

It is an arithmetic number, because the mean of its divisors is an integer number (15750449).

Almost surely, 2332000334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332000334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378010776).

332000334 is an abundant number, since it is smaller than the sum of its proper divisors (424021218).

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

332000334 is a wasteful number, since it uses less digits than its factorization.

332000334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681 (or 11678 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 332000334 is about 18220.8763236020. The cubic root of 332000334 is about 692.4357894649.

Adding to 332000334 its reverse (433000233), we get a palindrome (765000567).

The spelling of 332000334 in words is "three hundred thirty-two million, three hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 222 258 333 387 666 774 1591 3182 4773 9546 11593 14319 23186 28638 34779 69558 104337 208674 428941 498499 857882 996998 1286823 1495497 2573646 2990994 3860469 4486491 7720938 8972982 18444463 36888926 55333389 110666778 166000167 332000334