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2338857728 = 28113233347
BaseRepresentation
bin1000101101101000…
…0010001100000000
320000222222021122022
42023122002030000
514242221421403
61024025501012
7111646651124
oct21332021400
96028867568
102338857728
11aa0251479
12553341768
132b372baac
141828a5584
15da4e9d38
hex8b682300

2338857728 has 72 divisors (see below), whose sum is σ = 4743739728. Its totient is φ = 1150779392.

The previous prime is 2338857709. The next prime is 2338857733. The reversal of 2338857728 is 8277588332.

It is a self number, because there is not a number n which added to its sum of digits gives 2338857728.

It is a congruent number.

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, 6740051 + ... + 6740397.

It is an arithmetic number, because the mean of its divisors is an integer number (65885274).

Almost surely, 22338857728 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 2338857728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371869864).

2338857728 is an abundant number, since it is smaller than the sum of its proper divisors (2404882000).

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

2338857728 is a wasteful number, since it uses less digits than its factorization.

2338857728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 695 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 53.

The square root of 2338857728 is about 48361.7382648722. The cubic root of 2338857728 is about 1327.3983339233.

The spelling of 2338857728 in words is "two billion, three hundred thirty-eight million, eight hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 233 256 347 452 466 694 904 932 1388 1808 1864 2776 3616 3728 5552 7232 7456 11104 14464 14912 22208 26329 28928 29824 39211 44416 52658 59648 78422 80851 88832 105316 156844 161702 210632 313688 323404 421264 627376 646808 842528 1254752 1293616 1685056 2509504 2587232 3370112 5019008 5174464 6740224 9136163 10038016 10348928 18272326 20697856 36544652 73089304 146178608 292357216 584714432 1169428864 2338857728