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329897464 = 23132231032
BaseRepresentation
bin10011101010011…
…101010111111000
3211222202112020121
4103222131113320
51133423204324
652422503024
711114040121
oct2352352770
9758675217
10329897464
1115a244936
1292594a74
1353468200
1431b57048
151de675e4
hex13a9d5f8

329897464 has 72 divisors (see below), whose sum is σ = 705772440. Its totient is φ = 144226368.

The previous prime is 329897413. The next prime is 329897479. The reversal of 329897464 is 464798923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3202837 + ... + 3202939.

It is an arithmetic number, because the mean of its divisors is an integer number (9802395).

Almost surely, 2329897464 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 329897464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352886220).

329897464 is an abundant number, since it is smaller than the sum of its proper divisors (375874976).

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

329897464 is a wasteful number, since it uses less digits than its factorization.

329897464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 141 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The square root of 329897464 is about 18163.0796948095. The cubic root of 329897464 is about 690.9707431469.

The spelling of 329897464 in words is "three hundred twenty-nine million, eight hundred ninety-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 103 104 169 184 206 299 338 412 598 676 824 1196 1339 1352 2369 2392 2678 3887 4738 5356 7774 9476 10609 10712 15548 17407 18952 21218 30797 31096 34814 42436 61594 69628 84872 123188 137917 139256 244007 246376 275834 400361 488014 551668 800722 976028 1103336 1601444 1792921 1952056 3172091 3202888 3585842 6344182 7171684 12688364 14343368 25376728 41237183 82474366 164948732 329897464