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61348644 = 22337194271
BaseRepresentation
bin1110101000000…
…1101100100100
311021102211112000
43222001230210
5111201124034
610030525300
71343312010
oct352015444
9137384460
1061348644
11316a2165
1218666830
13c92ca96
14820d540
1555bc599
hex3a81b24

61348644 has 96 divisors (see below), whose sum is σ = 191385600. Its totient is φ = 16601760.

The previous prime is 61348621. The next prime is 61348649. The reversal of 61348644 is 44684316.

61348644 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 8 + 644 = 666.

It is a super-2 number, since 2×613486442 = 7527312241277472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61348599 and 61348608.

It is not an unprimeable number, because it can be changed into a prime (61348649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12229 + ... + 16499.

It is an arithmetic number, because the mean of its divisors is an integer number (1993600).

Almost surely, 261348644 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 61348644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95692800).

61348644 is an abundant number, since it is smaller than the sum of its proper divisors (130036956).

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

61348644 is a wasteful number, since it uses less digits than its factorization.

61348644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4302 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 61348644 is about 7832.5375198591. The cubic root of 61348644 is about 394.3982591225.

The spelling of 61348644 in words is "sixty-one million, three hundred forty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4271 4788 7182 8542 12813 14364 17084 25626 29897 38439 51252 59794 76878 81149 89691 115317 119588 153756 162298 179382 230634 243447 269073 324596 358764 461268 486894 538146 568043 730341 807219 973788 1076292 1136086 1460682 1614438 1704129 2191023 2272172 2921364 3228876 3408258 4382046 5112387 6816516 8764092 10224774 15337161 20449548 30674322 61348644