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61344660 = 223513314359
BaseRepresentation
bin1110101000000…
…0101110010100
311021102122001110
43222000232110
5111201012120
610030455020
71343264256
oct352005624
9137378043
1061344660
113169a173
1218664470
13c92b020
14820bcd6
1555bb2e0
hex3a80b94

61344660 has 192 divisors, whose sum is σ = 198696960. Its totient is φ = 14031360.

The previous prime is 61344593. The next prime is 61344713. The reversal of 61344660 is 6644316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1039711 + ... + 1039769.

It is an arithmetic number, because the mean of its divisors is an integer number (1034880).

Almost surely, 261344660 is an apocalyptic number.

61344660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61344660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99348480).

61344660 is an abundant number, since it is smaller than the sum of its proper divisors (137352300).

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

61344660 is a wasteful number, since it uses less digits than its factorization.

61344660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 61344660 is about 7832.2831920201. The cubic root of 61344660 is about 394.3897214892.

Adding to 61344660 its reverse (6644316), we get a palindrome (67988976).

The spelling of 61344660 in words is "sixty-one million, three hundred forty-four thousand, six hundred sixty".