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68260644 = 22310172
BaseRepresentation
bin1000001000110…
…01001100100100
311202110000000000
410010121030210
5114433320034
610435021300
71456130424
oct404311444
9152400000
1068260644
1135593261
121aa3a830
13111acc1a
1490cc484
155ed5599
hex4119324

68260644 has 99 divisors (see below), whose sum is σ = 190343377. Its totient is φ = 21415104.

The previous prime is 68260639. The next prime is 68260649. The reversal of 68260644 is 44606286.

It is a happy number.

The square root of 68260644 is 8262.

It is a perfect power (a square), and thus also a powerful number.

68260644 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 0 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (68260639) and next prime (68260649).

It can be written as a sum of positive squares in only one way, i.e., 53144100 + 15116544 = 7290^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 68260599 and 68260608.

It is not an unprimeable number, because it can be changed into a prime (68260649) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 4015324 + ... + 4015340.

Almost surely, 268260644 is an apocalyptic number.

68260644 is the 8262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68260644

68260644 is an abundant number, since it is smaller than the sum of its proper divisors (122082733).

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

68260644 is an equidigital number, since it uses as much as digits as its factorization.

68260644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 68260644 is about 408.6863447713.

Multiplying 68260644 by its sum of digits (36), we get a square (2457383184 = 495722).

68260644 divided by its sum of digits (36) gives a square (1896129 = 13772).

The spelling of 68260644 in words is "sixty-eight million, two hundred sixty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 289 306 324 459 486 578 612 729 867 918 972 1156 1377 1458 1734 1836 2187 2601 2754 2916 3468 4131 4374 5202 5508 6561 7803 8262 8748 10404 12393 13122 15606 16524 19683 23409 24786 26244 31212 37179 39366 46818 49572 59049 70227 74358 78732 93636 111537 118098 140454 148716 210681 223074 236196 280908 334611 421362 446148 632043 669222 842724 1003833 1264086 1338444 1896129 2007666 2528172 3792258 4015332 5688387 7584516 11376774 17065161 22753548 34130322 68260644