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68390352 = 24332953103
BaseRepresentation
bin1000001001110…
…00110111010000
311202200120221000
410010320313100
5120001442402
610441502000
71460210532
oct404706720
9152616830
1068390352
1135671758
121aaa1900
1311226c84
149123852
15600dc1c
hex4138dd0

68390352 has 160 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 21385728.

The previous prime is 68390347. The next prime is 68390353. The reversal of 68390352 is 25309386.

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 (68390353) 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, 663933 + ... + 664035.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 268390352 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 68390352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

68390352 is an abundant number, since it is smaller than the sum of its proper divisors (140524848).

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

68390352 is a wasteful number, since it uses less digits than its factorization.

68390352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 68390352 is about 8269.8459477792. The cubic root of 68390352 is about 408.9450411664.

The spelling of 68390352 in words is "sixty-eight million, three hundred ninety thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 53 54 58 72 87 103 106 108 116 144 159 174 206 212 216 232 261 309 318 348 412 424 432 464 477 522 618 636 696 783 824 848 927 954 1044 1236 1272 1392 1431 1537 1566 1648 1854 1908 2088 2472 2544 2781 2862 2987 3074 3132 3708 3816 4176 4611 4944 5459 5562 5724 5974 6148 6264 7416 7632 8961 9222 10918 11124 11448 11948 12296 12528 13833 14832 16377 17922 18444 21836 22248 22896 23896 24592 26883 27666 32754 35844 36888 41499 43672 44496 47792 49131 53766 55332 65508 71688 73776 80649 82998 87344 98262 107532 110664 131016 143376 147393 158311 161298 165996 196524 215064 221328 262032 294786 316622 322596 331992 393048 430128 474933 589572 633244 645192 663984 786096 949866 1179144 1266488 1290384 1424799 1899732 2358288 2532976 2849598 3799464 4274397 5699196 7598928 8548794 11398392 17097588 22796784 34195176 68390352