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331305156 = 2232713234397
BaseRepresentation
bin10011101111110…
…101000011000100
3212002102001020100
4103233311003010
51134303231111
652513004100
711132022150
oct2357650304
9762361210
10331305156
11160016516
1292b53630
135383bb70
1432002060
151e144756
hex13bf50c4

331305156 has 144 divisors (see below), whose sum is σ = 1075785984. Its totient is φ = 83559168.

The previous prime is 331305137. The next prime is 331305199. The reversal of 331305156 is 651503133.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73150 + ... + 77546.

It is an arithmetic number, because the mean of its divisors is an integer number (7470736).

Almost surely, 2331305156 is an apocalyptic number.

331305156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331305156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537892992).

331305156 is an abundant number, since it is smaller than the sum of its proper divisors (744480828).

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

331305156 is a wasteful number, since it uses less digits than its factorization.

331305156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 331305156 is about 18201.7899119839. The cubic root of 331305156 is about 691.9521529059.

Adding to 331305156 its reverse (651503133), we get a palindrome (982808289).

The spelling of 331305156 in words is "three hundred thirty-one million, three hundred five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 207 234 252 273 276 299 322 364 414 468 483 546 598 644 819 828 897 966 1092 1196 1449 1638 1794 1932 2093 2691 2898 3276 3588 4186 4397 5382 5796 6279 8372 8794 10764 12558 13191 17588 18837 25116 26382 30779 37674 39573 52764 57161 61558 75348 79146 92337 101131 114322 123116 158292 171483 184674 202262 228644 277011 303393 342966 369348 400127 404524 514449 554022 606786 685932 707917 800254 910179 1028898 1108044 1200381 1213572 1314703 1415834 1600508 1820358 2057796 2123751 2400762 2629406 2831668 3601143 3640716 3944109 4247502 4801524 5258812 6371253 7202286 7888218 8495004 9202921 11832327 12742506 14404572 15776436 18405842 23664654 25485012 27608763 36811684 47329308 55217526 82826289 110435052 165652578 331305156