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61316346 = 23721361263
BaseRepresentation
bin1110100111100…
…1110011111010
311021101012012210
43221321303322
5111144110341
610030115550
71343115600
oct351716372
9137335183
1061316346
113167a973
121864bbb6
13c91b180
148201870
1555b2c16
hex3a79cfa

61316346 has 96 divisors (see below), whose sum is σ = 156739968. Its totient is φ = 15845760.

The previous prime is 61316329. The next prime is 61316347. The reversal of 61316346 is 64361316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61316347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233011 + ... + 233273.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 261316346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61316346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984).

61316346 is an abundant number, since it is smaller than the sum of its proper divisors (95423622).

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

61316346 is a wasteful number, since it uses less digits than its factorization.

61316346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 61316346 is about 7830.4754644913. The cubic root of 61316346 is about 394.3290344952.

The spelling of 61316346 in words is "sixty-one million, three hundred sixteen thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 61 78 91 98 122 147 182 183 263 273 294 366 427 526 546 637 789 793 854 1274 1281 1578 1586 1841 1911 2379 2562 2989 3419 3682 3822 4758 5523 5551 5978 6838 8967 10257 11046 11102 12887 16043 16653 17934 20514 23933 25774 32086 33306 38661 38857 47866 48129 71799 77322 77714 96258 112301 116571 143598 167531 208559 224602 233142 335062 336903 417118 502593 625677 673806 786107 1005186 1251354 1459913 1572214 2358321 2919826 4379739 4716642 8759478 10219391 20438782 30658173 61316346