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61434198 = 2327617993
BaseRepresentation
bin1110101001011…
…0100101010110
311021121011212200
43222112211112
5111211343243
610032425330
71344116310
oct352264526
9137534780
1061434198
1131750471
12186a8246
13c95c9c7
1482327b0
1555d7ad3
hex3a96956

61434198 has 48 divisors (see below), whose sum is σ = 154635936. Its totient is φ = 17262720.

The previous prime is 61434181. The next prime is 61434227. The reversal of 61434198 is 89143416.

61434198 is a `hidden beast` number, since 614 + 34 + 1 + 9 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3690 + ... + 11682.

It is an arithmetic number, because the mean of its divisors is an integer number (3221582).

Almost surely, 261434198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61434198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77317968).

61434198 is an abundant number, since it is smaller than the sum of its proper divisors (93201738).

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

61434198 is a wasteful number, since it uses less digits than its factorization.

61434198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8069 (or 8066 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 61434198 is about 7837.9970655774. The cubic root of 61434198 is about 394.5815105275.

The spelling of 61434198 in words is "sixty-one million, four hundred thirty-four thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 3843 7686 7993 15986 23979 47958 55951 71937 111902 143874 167853 335706 487573 503559 975146 1007118 1462719 2925438 3413011 4388157 6826022 8776314 10239033 20478066 30717099 61434198