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61634214 = 232171910601
BaseRepresentation
bin1110101100011…
…1011010100110
311021222100020200
43223013122212
5111234243324
610041011330
71345611405
oct353073246
9137870220
1061634214
1131877774
1218783b46
13c9cca65
14828563c
155626ec9
hex3ac76a6

61634214 has 48 divisors (see below), whose sum is σ = 148852080. Its totient is φ = 18316800.

The previous prime is 61634213. The next prime is 61634239. The reversal of 61634214 is 41243616.

61634214 is a `hidden beast` number, since 6 + 1 + 634 + 21 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61634213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514 + ... + 11114.

It is an arithmetic number, because the mean of its divisors is an integer number (3101085).

Almost surely, 261634214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61634214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74426040).

61634214 is an abundant number, since it is smaller than the sum of its proper divisors (87217866).

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

61634214 is a wasteful number, since it uses less digits than its factorization.

61634214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10645 (or 10642 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 61634214 is about 7850.7460791953. The cubic root of 61634214 is about 395.0092696644.

The spelling of 61634214 in words is "sixty-one million, six hundred thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2907 5814 10601 21202 31803 63606 95409 180217 190818 201419 360434 402838 540651 604257 1081302 1208514 1621953 1812771 3243906 3424123 3625542 6848246 10272369 20544738 30817107 61634214