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68349204 = 22337118219
BaseRepresentation
bin1000001001011…
…10110100010100
311202121111111000
410010232310110
5114444133304
610440543300
71456646550
oct404566424
9152544430
1068349204
1135643850
121aa81b30
1311211321
149112860
156001939
hex412ed14

68349204 has 96 divisors (see below), whose sum is σ = 220953600. Its totient is φ = 17750880.

The previous prime is 68349187. The next prime is 68349209. The reversal of 68349204 is 40294386.

It is a happy number.

It is a super-2 number, since 2×683492042 = 9343227374867232, which contains 22 as substring.

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 (68349209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4207 + ... + 12425.

It is an arithmetic number, because the mean of its divisors is an integer number (2301600).

Almost surely, 268349204 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 68349204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110476800).

68349204 is an abundant number, since it is smaller than the sum of its proper divisors (152604396).

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

68349204 is a wasteful number, since it uses less digits than its factorization.

68349204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 68349204 is about 8267.3577399312. The cubic root of 68349204 is about 408.8630089012.

The spelling of 68349204 in words is "sixty-eight million, three hundred forty-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8219 8316 16438 24657 32876 49314 57533 73971 90409 98628 115066 147942 172599 180818 221913 230132 271227 295884 345198 361636 443826 517797 542454 632863 690396 813681 887652 1035594 1084908 1265726 1553391 1627362 1898589 2071188 2441043 2531452 3106782 3254724 3797178 4882086 5695767 6213564 7594356 9764172 11391534 17087301 22783068 34174602 68349204