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11346642 = 23537631
BaseRepresentation
bin101011010010…
…001011010010
3210100110200000
4223102023102
510401043032
61043110430
7165305406
oct53221322
923313600
1011346642
11644a99a
123972416
1324737b8
141715106
15ee1e7c
hexad22d2

11346642 has 48 divisors (see below), whose sum is σ = 26225472. Its totient is φ = 3674160.

The previous prime is 11346641. The next prime is 11346653. The reversal of 11346642 is 24664311.

11346642 is a `hidden beast` number, since 1 + 13 + 4 + 6 + 642 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11346641) 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 23 ways as a sum of consecutive naturals, for example, 17667 + ... + 18297.

It is an arithmetic number, because the mean of its divisors is an integer number (546364).

Almost surely, 211346642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11346642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112736).

11346642 is an abundant number, since it is smaller than the sum of its proper divisors (14878830).

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

11346642 is an equidigital number, since it uses as much as digits as its factorization.

11346642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 673 counting only the distinct ones).

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

The square root of 11346642 is about 3368.4776977145. The cubic root of 11346642 is about 224.7100264509.

It can be divided in two parts, 1134 and 6642, that added together give a 5-th power (7776 = 65).

The spelling of 11346642 in words is "eleven million, three hundred forty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 631 666 999 1262 1893 1998 2997 3786 5679 5994 8991 11358 17037 17982 23347 34074 46694 51111 70041 102222 140082 153333 210123 306666 420246 630369 1260738 1891107 3782214 5673321 11346642