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2042234032 = 24235719719
BaseRepresentation
bin111100110111010…
…0000010010110000
312021022211020102111
41321232200102300
513140302442112
6534352055104
7101415463036
oct17156402260
95238736374
102042234032
11958873723
1248bb34494
13267143a07
14155330556
15be4565a7
hex79ba04b0

2042234032 has 40 divisors (see below), whose sum is σ = 4136520960. Its totient is φ = 974909760.

The previous prime is 2042234017. The next prime is 2042234071. The reversal of 2042234032 is 2304322402.

It is a junction number, because it is equal to n+sod(n) for n = 2042233994 and 2042234012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205269 + ... + 214987.

It is an arithmetic number, because the mean of its divisors is an integer number (103413024).

Almost surely, 22042234032 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 2042234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068260480).

2042234032 is an abundant number, since it is smaller than the sum of its proper divisors (2094286928).

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

2042234032 is a wasteful number, since it uses less digits than its factorization.

2042234032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10321 (or 10315 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2042234032 is about 45191.0835453190. The cubic root of 2042234032 is about 1268.7279370345.

Adding to 2042234032 its reverse (2304322402), we get a palindrome (4346556434).

The spelling of 2042234032 in words is "two billion, forty-two million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 368 571 1142 2284 4568 9136 9719 13133 19438 26266 38876 52532 77752 105064 155504 210128 223537 447074 894148 1788296 3576592 5549549 11099098 22198196 44396392 88792784 127639627 255279254 510558508 1021117016 2042234032