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2034334296 = 2332371814219
BaseRepresentation
bin111100101000001…
…0111101001011000
312020202221220000200
41321100113221120
513131242144141
6533510502200
7101261361531
oct17120275130
95222856020
102034334296
11954368515
12489364960
13265609107
14154275688
15bd8e5ab6
hex79417a58

2034334296 has 96 divisors (see below), whose sum is σ = 5691176400. Its totient is φ = 655983360.

The previous prime is 2034334273. The next prime is 2034334307. The reversal of 2034334296 is 6924334302.

2034334296 is a `hidden beast` number, since 2 + 0 + 34 + 334 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2034334296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480075 + ... + 484293.

Almost surely, 22034334296 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 2034334296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845588200).

2034334296 is an abundant number, since it is smaller than the sum of its proper divisors (3656842104).

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

2034334296 is a wasteful number, since it uses less digits than its factorization.

2034334296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 2034334296 is about 45103.5951560405. The cubic root of 2034334296 is about 1267.0899323543.

Adding to 2034334296 its reverse (6924334302), we get a palindrome (8958668598).

The spelling of 2034334296 in words is "two billion, thirty-four million, three hundred thirty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 181 222 296 333 362 444 543 666 724 888 1086 1332 1448 1629 2172 2664 3258 4219 4344 6516 6697 8438 12657 13032 13394 16876 20091 25314 26788 33752 37971 40182 50628 53576 60273 75942 80364 101256 120546 151884 156103 160728 241092 303768 312206 468309 482184 624412 763639 936618 1248824 1404927 1527278 1873236 2290917 2809854 3054556 3746472 4581834 5619708 6109112 6872751 9163668 11239416 13745502 18327336 27491004 28254643 54982008 56509286 84763929 113018572 169527858 226037144 254291787 339055716 508583574 678111432 1017167148 2034334296