Search a number
-
+
328334328 = 233271738321
BaseRepresentation
bin10011100100011…
…111101111111000
3211212211010000200
4103210133233320
51133023144303
652325202200
711064536640
oct2344375770
9755733020
10328334328
11159377493
1291b60360
135303b88a
143186b520
151dc593a3
hex1391fbf8

328334328 has 96 divisors (see below), whose sum is σ = 1076081760. Its totient is φ = 88289280.

The previous prime is 328334327. The next prime is 328334329. The reversal of 328334328 is 823433823.

It is a happy number.

328334328 is a `hidden beast` number, since 328 + 3 + 3 + 4 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (328334327) and next prime (328334329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 328334292 and 328334301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328334327) 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, 10593 + ... + 27728.

It is an arithmetic number, because the mean of its divisors is an integer number (11209185).

Almost surely, 2328334328 is an apocalyptic number.

It is an amenable number.

328334328 is an abundant number, since it is smaller than the sum of its proper divisors (747747432).

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

328334328 is a wasteful number, since it uses less digits than its factorization.

328334328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38357 (or 38350 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 328334328 is about 18119.9980132449. The cubic root of 328334328 is about 689.8776846828.

The spelling of 328334328 in words is "three hundred twenty-eight million, three hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 38321 76642 114963 153284 229926 268247 306568 344889 459852 536494 651457 689778 804741 919704 1072988 1302914 1379556 1609482 1954371 2145976 2414223 2605828 2759112 3218964 3908742 4560199 4828446 5211656 5863113 6437928 7817484 9120398 9656892 11726226 13680597 15634968 18240796 19313784 23452452 27361194 36481592 41041791 46904904 54722388 82083582 109444776 164167164 328334328