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331220320 = 25553139281
BaseRepresentation
bin10011101111100…
…000010101100000
3212002020201212021
4103233200111200
51134243022240
652511111224
711131216624
oct2357402540
9762221767
10331220320
1115aa68802
1292b12514
135380c372
1431dbd184
151e12954a
hex13be0560

331220320 has 96 divisors (see below), whose sum is σ = 805865760. Its totient is φ = 128593920.

The previous prime is 331220311. The next prime is 331220341. The reversal of 331220320 is 23022133.

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

It is a junction number, because it is equal to n+sod(n) for n = 331220294 and 331220303.

It is a congruent number.

It is an unprimeable number.

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, 1178580 + ... + 1178860.

It is an arithmetic number, because the mean of its divisors is an integer number (8394435).

Almost surely, 2331220320 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 331220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402932880).

331220320 is an abundant number, since it is smaller than the sum of its proper divisors (474645440).

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

331220320 is a wasteful number, since it uses less digits than its factorization.

331220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 331220320 is about 18199.4593326285. The cubic root of 331220320 is about 691.8930860476.

Adding to 331220320 its reverse (23022133), we get a palindrome (354242453).

It can be divided in two parts, 3312 and 20320, that added together give a palindrome (23632).

The spelling of 331220320 in words is "three hundred thirty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 139 160 212 265 278 281 424 530 556 562 695 848 1060 1112 1124 1390 1405 1696 2120 2224 2248 2780 2810 4240 4448 4496 5560 5620 7367 8480 8992 11120 11240 14734 14893 22240 22480 29468 29786 36835 39059 44960 58936 59572 73670 74465 78118 117872 119144 147340 148930 156236 195295 235744 238288 294680 297860 312472 390590 476576 589360 595720 624944 781180 1178720 1191440 1249888 1562360 2070127 2382880 3124720 4140254 6249440 8280508 10350635 16561016 20701270 33122032 41402540 66244064 82805080 165610160 331220320