Search a number
-
+
320452000 = 2553117283
BaseRepresentation
bin10011000110011…
…011010110100000
3211022222122111121
4103012123112200
51124013431000
651444222024
710640540251
oct2306332640
9738878447
10320452000
11154983370
128b39a914
135150bb8b
14307b8b28
151d1edb1a
hex1319b5a0

320452000 has 96 divisors (see below), whose sum is σ = 859045824. Its totient is φ = 116512000.

The previous prime is 320451997. The next prime is 320452003. The reversal of 320452000 is 254023.

It is an interprime number because it is at equal distance from previous prime (320451997) and next prime (320452003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320452003) 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 15 ways as a sum of consecutive naturals, for example, 40359 + ... + 47641.

It is an arithmetic number, because the mean of its divisors is an integer number (8948394).

Almost surely, 2320452000 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 320452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429522912).

320452000 is an abundant number, since it is smaller than the sum of its proper divisors (538593824).

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

320452000 is a wasteful number, since it uses less digits than its factorization.

320452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319 (or 7301 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 320452000 is about 17901.1731459142. The cubic root of 320452000 is about 684.3122726298.

The spelling of 320452000 in words is "three hundred twenty million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 7283 8800 11000 14566 22000 29132 36415 44000 58264 72830 80113 116528 145660 160226 182075 233056 291320 320452 364150 400565 582640 640904 728300 801130 910375 1165280 1281808 1456600 1602260 1820750 2002825 2563616 2913200 3204520 3641500 4005650 5826400 6409040 7283000 8011300 10014125 12818080 14566000 16022600 20028250 29132000 32045200 40056500 64090400 80113000 160226000 320452000