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61376346 = 23319163367
BaseRepresentation
bin1110101000100…
…0011101011010
311021111020112000
43222020131122
5111203020341
610031301430
71343455533
oct352103532
9137436460
1061376346
1131710a59
121867a876
13c93c585
14821968a
1555c58b6
hex3a8875a

61376346 has 64 divisors (see below), whose sum is σ = 144844800. Its totient is φ = 19210608.

The previous prime is 61376297. The next prime is 61376347. The reversal of 61376346 is 64367316.

It is a happy number.

61376346 is a `hidden beast` number, since 6 + 13 + 7 + 634 + 6 = 666.

61376346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61376346.

It is not an unprimeable number, because it can be changed into a prime (61376347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 167055 + ... + 167421.

It is an arithmetic number, because the mean of its divisors is an integer number (2263200).

Almost surely, 261376346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61376346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72422400).

61376346 is an abundant number, since it is smaller than the sum of its proper divisors (83468454).

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

61376346 is a wasteful number, since it uses less digits than its factorization.

61376346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 61376346 is about 7834.3057126972. The cubic root of 61376346 is about 394.4576137433.

The spelling of 61376346 in words is "sixty-one million, three hundred seventy-six thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 163 171 326 342 367 489 513 734 978 1026 1101 1467 2202 2934 3097 3303 4401 6194 6606 6973 8802 9291 9909 13946 18582 19818 20919 27873 41838 55746 59821 62757 83619 119642 125514 167238 179463 188271 358926 376542 538389 1076778 1136599 1615167 2273198 3230334 3409797 6819594 10229391 20458782 30688173 61376346