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329334012 = 2235797499
BaseRepresentation
bin10011101000010…
…011110011111100
3211221200220100000
4103220103303330
51133302142022
652402434300
711106202320
oct2350236374
9757626300
10329334012
1115999a577
1292362990
13532cb8c7
1431a4b980
151dda56ac
hex13a13cfc

329334012 has 144 divisors (see below), whose sum is σ = 998816000. Its totient is φ = 92938752.

The previous prime is 329334001. The next prime is 329334023. The reversal of 329334012 is 210433923.

It is a happy number.

329334012 is a `hidden beast` number, since 329 + 334 + 0 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (329334001) and next prime (329334023).

It is a super-2 number, since 2×3293340122 = 216921782920032288, which contains 22 as substring.

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

It is a congruent number.

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, 659739 + ... + 660237.

Almost surely, 2329334012 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 329334012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499408000).

329334012 is an abundant number, since it is smaller than the sum of its proper divisors (669481988).

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

329334012 is a wasteful number, since it uses less digits than its factorization.

329334012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 329334012 is about 18147.5621503275. The cubic root of 329334012 is about 690.5771352808.

Adding to 329334012 its reverse (210433923), we get a palindrome (539767935).

The spelling of 329334012 in words is "three hundred twenty-nine million, three hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 97 108 126 162 189 194 243 252 291 324 378 388 486 499 567 582 679 756 873 972 998 1134 1164 1358 1497 1701 1746 1996 2037 2268 2619 2716 2994 3402 3492 3493 4074 4491 5238 5988 6111 6804 6986 7857 8148 8982 10476 10479 12222 13473 13972 15714 17964 18333 20958 23571 24444 26946 31428 31437 36666 40419 41916 47142 48403 53892 54999 62874 73332 80838 94284 94311 96806 109998 121257 125748 145209 161676 164997 188622 193612 219996 242514 282933 290418 329994 338821 377244 435627 485028 565866 580836 659988 677642 848799 871254 1016463 1131732 1306881 1355284 1697598 1742508 2032926 2613762 3049389 3395196 3920643 4065852 5227524 6098778 7841286 9148167 11761929 12197556 15682572 18296334 23523858 27444501 36592668 47047716 54889002 82333503 109778004 164667006 329334012