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61434064 = 2429314271
BaseRepresentation
bin1110101001011…
…0100011010000
311021121011200201
43222112203100
5111211342224
610032424544
71344116026
oct352264320
9137534621
1061434064
113175035a
12186a8154
13c95c923
148232716
1555d7a44
hex3a968d0

61434064 has 40 divisors (see below), whose sum is σ = 127134720. Its totient is φ = 28694400.

The previous prime is 61434017. The next prime is 61434067. The reversal of 61434064 is 46043416.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61434067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12249 + ... + 16519.

It is an arithmetic number, because the mean of its divisors is an integer number (3178368).

Almost surely, 261434064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61434064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63567360).

61434064 is an abundant number, since it is smaller than the sum of its proper divisors (65700656).

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

61434064 is a wasteful number, since it uses less digits than its factorization.

61434064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 61434064 is about 7837.9885174705. The cubic root of 61434064 is about 394.5812236408.

The spelling of 61434064 in words is "sixty-one million, four hundred thirty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 4271 7192 8542 14384 17084 34168 68336 123859 132401 247718 264802 495436 529604 990872 1059208 1981744 2118416 3839629 7679258 15358516 30717032 61434064