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61802034 = 2372316781
BaseRepresentation
bin1110101111000…
…0011000110010
311022021212110020
43223300120302
5111310131114
610044344310
71350210600
oct353603062
9138255406
1061802034
1131981868
1218845096
13ca5b268
1482ca870
15565baa9
hex3af0632

61802034 has 48 divisors (see below), whose sum is σ = 148444416. Its totient is φ = 17085600.

The previous prime is 61802011. The next prime is 61802063. The reversal of 61802034 is 43020816.

It is a happy number.

61802034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61801995 and 61802013.

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 23 ways as a sum of consecutive naturals, for example, 5724 + ... + 12504.

It is an arithmetic number, because the mean of its divisors is an integer number (3092592).

Almost surely, 261802034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61802034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74222208).

61802034 is an abundant number, since it is smaller than the sum of its proper divisors (86642382).

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

61802034 is a wasteful number, since it uses less digits than its factorization.

61802034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 61802034 is about 7861.4269697047. The cubic root of 61802034 is about 395.3674602219.

The spelling of 61802034 in words is "sixty-one million, eight hundred two thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 6781 9114 13562 20343 40686 47467 94934 142401 210211 284802 332269 420422 630633 664538 996807 1261266 1471477 1993614 2942954 4414431 8828862 10300339 20600678 30901017 61802034