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328340760 = 233511222613
BaseRepresentation
bin10011100100100…
…001010100011000
3211212211102211220
4103210201110120
51133023401020
652325252040
711064564456
oct2344412430
9755742756
10328340760
11159381300
1291b64020
1353041797
143186d9d6
151dc5b240
hex13921518

328340760 has 96 divisors (see below), whose sum is σ = 1082758320. Its totient is φ = 79594240.

The previous prime is 328340743. The next prime is 328340773. The reversal of 328340760 is 67043823.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3214 + ... + 25826.

Almost surely, 2328340760 is an apocalyptic number.

328340760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328340760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541379160).

328340760 is an abundant number, since it is smaller than the sum of its proper divisors (754417560).

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

328340760 is a wasteful number, since it uses less digits than its factorization.

328340760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22649 (or 22634 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 328340760 is about 18120.1754958389. The cubic root of 328340760 is about 689.8821895060.

The spelling of 328340760 in words is "three hundred twenty-eight million, three hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 22613 45226 67839 90452 113065 135678 180904 226130 248743 271356 339195 452260 497486 542712 678390 746229 904520 994972 1243715 1356780 1492458 1989944 2487430 2713560 2736173 2984916 3731145 4974860 5472346 5969832 7462290 8208519 9949720 10944692 13680865 14924580 16417038 21889384 27361730 29849160 32834076 41042595 54723460 65668152 82085190 109446920 164170380 328340760