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61434320 = 2456112589
BaseRepresentation
bin1110101001011…
…0100111010000
311021121012001012
43222112213100
5111211344240
610032430052
71344116543
oct352264720
9137535035
1061434320
1131750572
12186a8328
13c95ca8c
14823285a
1555d7b65
hex3a969d0

61434320 has 40 divisors (see below), whose sum is σ = 145187880. Its totient is φ = 24168960.

The previous prime is 61434227. The next prime is 61434323. The reversal of 61434320 is 2343416.

It is a happy number.

61434320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3125824 + 58308496 = 1768^2 + 7636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61434323) 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 7 ways as a sum of consecutive naturals, for example, 1415 + ... + 11174.

It is an arithmetic number, because the mean of its divisors is an integer number (3629697).

Almost surely, 261434320 is an apocalyptic number.

It is an amenable number.

61434320 is an abundant number, since it is smaller than the sum of its proper divisors (83753560).

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

61434320 is a wasteful number, since it uses less digits than its factorization.

61434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12663 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 61434320 is about 7838.0048481741. The cubic root of 61434320 is about 394.5817717225.

Adding to 61434320 its reverse (2343416), we get a palindrome (63777736).

The spelling of 61434320 in words is "sixty-one million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 12589 25178 50356 62945 100712 125890 201424 251780 503560 767929 1007120 1535858 3071716 3839645 6143432 7679290 12286864 15358580 30717160 61434320