Search a number
-
+
331055928 = 233272328559
BaseRepresentation
bin10011101110111…
…000001100111000
3212001221101100200
4103232320030320
51134222242203
652503402200
711126633430
oct2356701470
9761841320
10331055928
1115a966245
1292a53360
13537825a8
1431d792c0
151e0e59a3
hex13bb8338

331055928 has 96 divisors (see below), whose sum is σ = 1069286400. Its totient is φ = 90471744.

The previous prime is 331055891. The next prime is 331055929. The reversal of 331055928 is 829550133.

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 = 331055892 and 331055901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331055929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2688 + ... + 25871.

It is an arithmetic number, because the mean of its divisors is an integer number (11138400).

Almost surely, 2331055928 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 331055928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643200).

331055928 is an abundant number, since it is smaller than the sum of its proper divisors (738230472).

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

331055928 is a wasteful number, since it uses less digits than its factorization.

331055928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28601 (or 28594 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 331055928 is about 18194.9423741874. The cubic root of 331055928 is about 691.7785998038.

The spelling of 331055928 in words is "three hundred thirty-one million, fifty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 28559 57118 85677 114236 171354 199913 228472 257031 342708 399826 514062 599739 656857 685416 799652 1028124 1199478 1313714 1599304 1799217 1970571 2056248 2398956 2627428 3598434 3941142 4597999 4797912 5254856 5911713 7196868 7882284 9195998 11823426 13793997 14393736 15764568 18391996 23646852 27587994 36783992 41381991 47293704 55175988 82763982 110351976 165527964 331055928