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320493852 = 22327372929
BaseRepresentation
bin10011000110100…
…101100100011100
3211100001202220200
4103012211210130
51124021300402
651445143500
710641103260
oct2306454434
9740052820
10320493852
11154a01858
128b3bab90
1351524c43
14307ca0a0
151d20b21c
hex131a591c

320493852 has 108 divisors (see below), whose sum is σ = 952595280. Its totient is φ = 88998912.

The previous prime is 320493847. The next prime is 320493853. The reversal of 320493852 is 258394023.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320493853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344524 + ... + 345452.

Almost surely, 2320493852 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 320493852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476297640).

320493852 is an abundant number, since it is smaller than the sum of its proper divisors (632101428).

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

320493852 is a wasteful number, since it uses less digits than its factorization.

320493852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 320493852 is about 17902.3420814149. The cubic root of 320493852 is about 684.3420624168.

The spelling of 320493852 in words is "three hundred twenty million, four hundred ninety-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 929 1036 1332 1369 1554 1858 2331 2738 2787 3108 3716 4107 4662 5476 5574 6503 8214 8361 9324 9583 11148 12321 13006 16428 16722 19166 19509 24642 26012 28749 33444 34373 38332 39018 49284 57498 58527 68746 78036 86247 103119 114996 117054 137492 172494 206238 234108 240611 309357 344988 412476 481222 618714 721833 962444 1237428 1271801 1443666 2165499 2543602 2887332 3815403 4330998 5087204 7630806 8661996 8902607 11446209 15261612 17805214 22892418 26707821 35610428 45784836 53415642 80123463 106831284 160246926 320493852