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2011001344 = 29111918793
BaseRepresentation
bin111011111011101…
…0111001000000000
312012011001110020021
41313313113020000
513104304020334
6531314423224
7100556141452
oct16767271000
95164043207
102011001344
11942181090
12481591b14
13260829931
141511202d2
15bb8373b4
hex77dd7200

2011001344 has 80 divisors (see below), whose sum is σ = 4614302880. Its totient is φ = 865935360.

The previous prime is 2011001329. The next prime is 2011001357. The reversal of 2011001344 is 4431001102.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 97612 + ... + 116404.

It is an arithmetic number, because the mean of its divisors is an integer number (57678786).

Almost surely, 22011001344 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 2011001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307151440).

2011001344 is an abundant number, since it is smaller than the sum of its proper divisors (2603301536).

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

2011001344 is a wasteful number, since it uses less digits than its factorization.

2011001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18841 (or 18825 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2011001344 is about 44844.1896347788. The cubic root of 2011001344 is about 1262.2269645027.

Adding to 2011001344 its reverse (4431001102), we get a palindrome (6442002446).

The spelling of 2011001344 in words is "two billion, eleven million, one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1216 1408 1672 2432 2816 3344 4864 5632 6688 9728 13376 18793 26752 37586 53504 75172 107008 150344 206723 300688 357067 413446 601376 714134 826892 1202752 1428268 1653784 2405504 2856536 3307568 3927737 4811008 5713072 6615136 7855474 9622016 11426144 13230272 15710948 22852288 26460544 31421896 45704576 52921088 62843792 91409152 105842176 125687584 182818304 251375168 502750336 1005500672 2011001344