Search a number
-
+
326483472 = 243721271093
BaseRepresentation
bin10011011101011…
…011111000010000
3211202100002010110
4103131123320100
51132034432342
652221401320
711043030600
oct2335337020
9752302113
10326483472
11158322957
1291409240
13528412b3
1431508c00
151d9e0c9c
hex1375be10

326483472 has 120 divisors (see below), whose sum is σ = 989746176. Its totient is φ = 92461824.

The previous prime is 326483461. The next prime is 326483483. The reversal of 326483472 is 274384623.

It is an interprime number because it is at equal distance from previous prime (326483461) and next prime (326483483).

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

It is a self number, because there is not a number n which added to its sum of digits gives 326483472.

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, 298158 + ... + 299250.

Almost surely, 2326483472 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 326483472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494873088).

326483472 is an abundant number, since it is smaller than the sum of its proper divisors (663262704).

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

326483472 is a wasteful number, since it uses less digits than its factorization.

326483472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1232 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 326483472 is about 18068.8536437705. The cubic root of 326483472 is about 688.5789362640.

It can be divided in two parts, 3264 and 83472, that added together give a triangular number (86736 = T416).

The spelling of 326483472 in words is "three hundred twenty-six million, four hundred eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 127 147 168 196 254 294 336 381 392 508 588 762 784 889 1016 1093 1176 1524 1778 2032 2186 2352 2667 3048 3279 3556 4372 5334 6096 6223 6558 7112 7651 8744 10668 12446 13116 14224 15302 17488 18669 21336 22953 24892 26232 30604 37338 42672 45906 49784 52464 53557 61208 74676 91812 99568 107114 122416 138811 149352 160671 183624 214228 277622 298704 321342 367248 416433 428456 555244 642684 832866 856912 971677 1110488 1285368 1665732 1943354 2220976 2570736 2915031 3331464 3886708 5830062 6662928 6801739 7773416 11660124 13603478 15546832 20405217 23320248 27206956 40810434 46640496 54413912 81620868 108827824 163241736 326483472