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61323840 = 26325107199
BaseRepresentation
bin1110100111101…
…1101001000000
311021101120111100
43221323221000
5111144330330
610030214400
71343146464
oct351735100
9137346440
1061323840
1131685566
1218654400
13c9216c6
1482044a4
1555b5060
hex3a7ba40

61323840 has 168 divisors, whose sum is σ = 213969600. Its totient is φ = 16118784.

The previous prime is 61323799. The next prime is 61323841. The reversal of 61323840 is 4832316.

It is a happy number.

61323840 is a `hidden beast` number, since 613 + 2 + 3 + 8 + 40 = 666.

61323840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×613238402 = 7521226704691200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61323841) 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 23 ways as a sum of consecutive naturals, for example, 308061 + ... + 308259.

Almost surely, 261323840 is an apocalyptic number.

61323840 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 61323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106984800).

61323840 is an abundant number, since it is smaller than the sum of its proper divisors (152645760).

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

61323840 is a wasteful number, since it uses less digits than its factorization.

61323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 61323840 is about 7830.9539648755. The cubic root of 61323840 is about 394.3450986260.

It can be divided in two parts, 613238 and 40, that added together give a triangular number (613278 = T1107).

The spelling of 61323840 in words is "sixty-one million, three hundred twenty-three thousand, eight hundred forty".