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329431212 = 22351122801
BaseRepresentation
bin10011101000101…
…011100010101100
3211221212211200000
4103220223202230
51133313244322
652404504300
711110055565
oct2350534254
9757784600
10329431212
11159a56600
12923ab090
1353333c16
1431a7516c
151ddc43ac
hex13a2b8ac

329431212 has 108 divisors (see below), whose sum is σ = 949552968. Its totient is φ = 99792000.

The previous prime is 329431189. The next prime is 329431217. The reversal of 329431212 is 212134923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (329431217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116212 + ... + 119012.

Almost surely, 2329431212 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 329431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474776484).

329431212 is an abundant number, since it is smaller than the sum of its proper divisors (620121756).

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

329431212 is a wasteful number, since it uses less digits than its factorization.

329431212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2817 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 329431212 is about 18150.2399984132. The cubic root of 329431212 is about 690.6450678280.

The spelling of 329431212 in words is "three hundred twenty-nine million, four hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 243 297 324 363 396 484 486 594 726 891 972 1089 1188 1452 1782 2178 2673 2801 3267 3564 4356 5346 5602 6534 8403 9801 10692 11204 13068 16806 19602 25209 29403 30811 33612 39204 50418 58806 61622 75627 92433 100836 117612 123244 151254 184866 226881 277299 302508 338921 369732 453762 554598 677842 680643 831897 907524 1016763 1109196 1355684 1361286 1663794 2033526 2495691 2722572 3050289 3327588 4067052 4991382 6100578 7487073 9150867 9982764 12201156 14974146 18301734 27452601 29948292 36603468 54905202 82357803 109810404 164715606 329431212