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331403064 = 23343537383
BaseRepresentation
bin10011110000001…
…100111100111000
3212002121000112120
4103300030330320
51134314344224
652515041240
711132610456
oct2360147470
9762530476
10331403064
11160083033
1292ba0220
13538745b5
14320299d6
151e163779
hex13c0cf38

331403064 has 128 divisors (see below), whose sum is σ = 886152960. Its totient is φ = 103154688.

The previous prime is 331403047. The next prime is 331403069. The reversal of 331403064 is 460304133.

331403064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331403069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3992767 + ... + 3992849.

It is an arithmetic number, because the mean of its divisors is an integer number (6923070).

Almost surely, 2331403064 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 331403064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443076480).

331403064 is an abundant number, since it is smaller than the sum of its proper divisors (554749896).

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

331403064 is a wasteful number, since it uses less digits than its factorization.

331403064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 331403064 is about 18204.4792290249. The cubic root of 331403064 is about 692.0203085801.

Adding to 331403064 its reverse (460304133), we get a palindrome (791707197).

The spelling of 331403064 in words is "three hundred thirty-one million, four hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 53 73 83 86 106 129 146 159 166 172 212 219 249 258 292 318 332 344 424 438 498 516 584 636 664 876 996 1032 1272 1752 1992 2279 3139 3569 3869 4399 4558 6059 6278 6837 7138 7738 8798 9116 9417 10707 11607 12118 12556 13197 13674 14276 15476 17596 18177 18232 18834 21414 23214 24236 25112 26394 27348 28552 30952 35192 36354 37668 42828 46428 48472 52788 54696 72708 75336 85656 92856 105576 145416 166367 189157 260537 321127 332734 378314 499101 521074 567471 642254 665468 756628 781611 963381 998202 1042148 1134942 1284508 1330936 1513256 1563222 1926762 1996404 2084296 2269884 2569016 3126444 3853524 3992808 4539768 6252888 7707048 13808461 27616922 41425383 55233844 82850766 110467688 165701532 331403064