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61678350 = 23252413343
BaseRepresentation
bin1110101101001…
…0001100001110
311022001120210100
43223102030032
5111242201400
610041551530
71346154156
oct353221416
9138046710
1061678350
11318a7948
12187a55a6
13ca16b86
148297766
155635100
hex3ad230e

61678350 has 72 divisors (see below), whose sum is σ = 169801632. Its totient is φ = 16041600.

The previous prime is 61678349. The next prime is 61678367. The reversal of 61678350 is 5387616.

61678350 is a `hidden beast` number, since 616 + 7 + 8 + 35 + 0 = 666.

61678350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16779 + ... + 20121.

It is an arithmetic number, because the mean of its divisors is an integer number (2358356).

Almost surely, 261678350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61678350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84900816).

61678350 is an abundant number, since it is smaller than the sum of its proper divisors (108123282).

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

61678350 is a wasteful number, since it uses less digits than its factorization.

61678350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 61678350 is about 7853.5565191829. The cubic root of 61678350 is about 395.1035353228.

The spelling of 61678350 in words is "sixty-one million, six hundred seventy-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3343 3690 6150 6686 9225 10029 16715 18450 20058 30087 33430 50145 60174 83575 100290 137063 150435 167150 250725 274126 300870 411189 501450 685315 752175 822378 1233567 1370630 1504350 2055945 2467134 3426575 4111890 6167835 6853150 10279725 12335670 20559450 30839175 61678350