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2099034 = 2357617
BaseRepresentation
bin1000000000011101011010
310221122100000
420000131122
51014132114
6112553430
723561430
oct10003532
93848300
102099034
111204043
12852876
13586542
143c8d50
152b6e09
hex20075a

2099034 has 48 divisors (see below), whose sum is σ = 5398848. Its totient is φ = 598752.

The previous prime is 2099033. The next prime is 2099059. The reversal of 2099034 is 4309902.

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

It is a junction number, because it is equal to n+sod(n) for n = 2098989 and 2099007.

It is not an unprimeable number, because it can be changed into a prime (2099033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3094 + ... + 3710.

It is an arithmetic number, because the mean of its divisors is an integer number (112476).

22099034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699424).

2099034 is an abundant number, since it is smaller than the sum of its proper divisors (3299814).

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

2099034 is an equidigital number, since it uses as much as digits as its factorization.

2099034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2099034 is about 1448.8043346153. The cubic root of 2099034 is about 128.0382779400.

The spelling of 2099034 in words is "two million, ninety-nine thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 617 1134 1234 1701 1851 3402 3702 4319 5553 8638 11106 12957 16659 25914 33318 38871 49977 77742 99954 116613 149931 233226 299862 349839 699678 1049517 2099034