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3212914068 = 22327132342641
BaseRepresentation
bin1011111110000001…
…0010110110010100
322021220122221112100
42333200102312110
523040001222233
61250451522100
7142422214260
oct27740226624
98256587470
103212914068
1113a9673991
12757bb9330
133c28408b0
142269cb0a0
1513c0ee813
hexbf812d94

3212914068 has 144 divisors (see below), whose sum is σ = 10430574336. Its totient is φ = 810501120.

The previous prime is 3212914051. The next prime is 3212914069. The reversal of 3212914068 is 8604192123.

3212914068 is a `hidden beast` number, since 321 + 291 + 40 + 6 + 8 = 666.

3212914068 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212914069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54028 + ... + 96668.

It is an arithmetic number, because the mean of its divisors is an integer number (72434544).

Almost surely, 23212914068 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 3212914068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215287168).

3212914068 is an abundant number, since it is smaller than the sum of its proper divisors (7217660268).

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

3212914068 is a wasteful number, since it uses less digits than its factorization.

3212914068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42694 (or 42689 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3212914068 is about 56682.5728773845. The cubic root of 3212914068 is about 1475.5922651498.

The spelling of 3212914068 in words is "three billion, two hundred twelve million, nine hundred fourteen thousand, sixty-eight".

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 5382 5796 6279 8372 10764 12558 18837 25116 37674 42641 75348 85282 127923 170564 255846 298487 383769 511692 554333 596974 767538 895461 980743 1108666 1193948 1535076 1662999 1790922 1961486 2217332 2686383 2942229 3325998 3581844 3880331 3922972 4988997 5372766 5884458 6651996 6865201 7760662 8826687 9977994 10745532 11640993 11768916 12749659 13730402 15521324 17653374 19955988 20595603 23281986 25499318 27460804 34922979 35306748 38248977 41191206 46563972 50998636 61786809 69845958 76497954 82382412 89247613 114746931 123573618 139691916 152995908 178495226 229493862 247147236 267742839 356990452 458987724 535485678 803228517 1070971356 1606457034 3212914068