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61340166 = 234715333
BaseRepresentation
bin1110100111111…
…1101000000110
311021102101220000
43221333220012
5111200341131
610030422130
71343245206
oct351775006
9137371800
1061340166
1131696858
1218661946
13c928c74
14820a406
1555b9ce6
hex3a7fa06

61340166 has 40 divisors (see below), whose sum is σ = 139409424. Its totient is φ = 20154960.

The previous prime is 61340159. The next prime is 61340179. The reversal of 61340166 is 66104316.

61340166 is a `hidden beast` number, since 613 + 40 + 1 + 6 + 6 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8836 + ... + 14168.

Almost surely, 261340166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61340166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69704712).

61340166 is an abundant number, since it is smaller than the sum of its proper divisors (78069258).

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

61340166 is a wasteful number, since it uses less digits than its factorization.

61340166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 61340166 is about 7831.9962972412. The cubic root of 61340166 is about 394.3800904923.

The spelling of 61340166 in words is "sixty-one million, three hundred forty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 1278 1917 3834 5333 5751 10666 11502 15999 31998 47997 95994 143991 287982 378643 431973 757286 863946 1135929 2271858 3407787 6815574 10223361 20446722 30670083 61340166