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61106346 = 23371391163
BaseRepresentation
bin1110100100011…
…0100010101010
311020222112011000
43221012202222
5111120400341
610021415430
71341252420
oct351064252
9136875130
1061106346
1131547114
121856a576
13c876702
148189110
1555708b6
hex3a468aa

61106346 has 64 divisors (see below), whose sum is σ = 156441600. Its totient is φ = 17318448.

The previous prime is 61106327. The next prime is 61106387. The reversal of 61106346 is 64360116.

61106346 is a `hidden beast` number, since 611 + 0 + 6 + 3 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51961 + ... + 53123.

It is an arithmetic number, because the mean of its divisors is an integer number (2444400).

Almost surely, 261106346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61106346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78220800).

61106346 is an abundant number, since it is smaller than the sum of its proper divisors (95335254).

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

61106346 is a wasteful number, since it uses less digits than its factorization.

61106346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

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

The square root of 61106346 is about 7817.0548162335. The cubic root of 61106346 is about 393.8783454620.

The spelling of 61106346 in words is "sixty-one million, one hundred six thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 139 189 278 378 417 834 973 1163 1251 1946 2326 2502 2919 3489 3753 5838 6978 7506 8141 8757 10467 16282 17514 20934 24423 26271 31401 48846 52542 62802 73269 146538 161657 219807 323314 439614 484971 969942 1131599 1454913 2263198 2909826 3394797 4364739 6789594 8729478 10184391 20368782 30553173 61106346