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323428644 = 2232711210607
BaseRepresentation
bin10011010001110…
…010000100100100
3211112120212200200
4103101302010210
51130244204034
652032110500
711005045440
oct2321620444
9745525620
10323428644
11156626800
1290395430
13520119c6
1430d51820
151d5daa99
hex13472124

323428644 has 108 divisors (see below), whose sum is σ = 1027108992. Its totient is φ = 83999520.

The previous prime is 323428603. The next prime is 323428657. The reversal of 323428644 is 446824323.

323428644 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 2 + 8 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 323428599 and 323428608.

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 35 ways as a sum of consecutive naturals, for example, 25189 + ... + 35795.

Almost surely, 2323428644 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 323428644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513554496).

323428644 is an abundant number, since it is smaller than the sum of its proper divisors (703680348).

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

323428644 is a wasteful number, since it uses less digits than its factorization.

323428644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646 (or 10630 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 323428644 is about 17984.1219969172. The cubic root of 323428644 is about 686.4245799876.

It can be divided in two parts, 3234 and 28644, that added together give a triangular number (31878 = T252).

The spelling of 323428644 in words is "three hundred twenty-three million, four hundred twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2178 2541 2772 3388 4356 5082 7623 10164 10607 15246 21214 30492 31821 42428 63642 74249 95463 116677 127284 148498 190926 222747 233354 296996 350031 381852 445494 466708 668241 700062 816739 890988 1050093 1283447 1336482 1400124 1633478 2100186 2450217 2566894 2672964 3266956 3850341 4200372 4900434 5133788 7350651 7700682 8984129 9800868 11551023 14701302 15401364 17968258 23102046 26952387 29402604 35936516 46204092 53904774 80857161 107809548 161714322 323428644