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109294344 = 233223312129
BaseRepresentation
bin1101000001110…
…11001100001000
321121122201122200
412200323030020
5210434404334
614502320200
72464662255
oct640731410
9247581580
10109294344
115676a505
1230729060
1319849113
141073042c
1598dd799
hex683b308

109294344 has 96 divisors (see below), whose sum is σ = 318988800. Its totient is φ = 33707520.

The previous prime is 109294333. The next prime is 109294349. The reversal of 109294344 is 443492901.

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 = 109294299 and 109294308.

It is not an unprimeable number, because it can be changed into a prime (109294349) 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, 50272 + ... + 52400.

It is an arithmetic number, because the mean of its divisors is an integer number (3322800).

Almost surely, 2109294344 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 109294344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159494400).

109294344 is an abundant number, since it is smaller than the sum of its proper divisors (209694456).

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

109294344 is a wasteful number, since it uses less digits than its factorization.

109294344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 109294344 is about 10454.3935261688. The cubic root of 109294344 is about 478.1152129741.

The spelling of 109294344 in words is "one hundred nine million, two hundred ninety-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 62 69 72 92 93 124 138 184 186 207 248 276 279 372 414 552 558 713 744 828 1116 1426 1656 2129 2139 2232 2852 4258 4278 5704 6387 6417 8516 8556 12774 12834 17032 17112 19161 25548 25668 38322 48967 51096 51336 65999 76644 97934 131998 146901 153288 195868 197997 263996 293802 391736 395994 440703 527992 587604 593991 791988 881406 1175208 1187982 1517977 1583976 1762812 2375964 3035954 3525624 4553931 4751928 6071908 9107862 12143816 13661793 18215724 27323586 36431448 54647172 109294344