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2338748928 = 29322322067
BaseRepresentation
bin1000101101100110…
…0111101000000000
320000222202202101200
42023121213220000
514242204431203
61024023301200
7111646015665
oct21331475000
96028682350
102338748928
11aa018775a
125532aa800
132b36c1409
14182877a6c
15da4c79a3
hex8b667a00

2338748928 has 120 divisors (see below), whose sum is σ = 7043575968. Its totient is φ = 745654272.

The previous prime is 2338748927. The next prime is 2338748933. The reversal of 2338748928 is 8298478332.

It is a super-2 number, since 2×23387489282 = 10939493096442298368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2338748927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94951 + ... + 117017.

Almost surely, 22338748928 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 2338748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521787984).

2338748928 is an abundant number, since it is smaller than the sum of its proper divisors (4704827040).

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

2338748928 is a wasteful number, since it uses less digits than its factorization.

2338748928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22114 (or 22095 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 2338748928 is about 48360.6133956136. The cubic root of 2338748928 is about 1327.3777507734.

The spelling of 2338748928 in words is "two billion, three hundred thirty-eight million, seven hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1104 1152 1472 1536 1656 2208 2304 2944 3312 4416 4608 5888 6624 8832 11776 13248 17664 22067 26496 35328 44134 52992 66201 88268 105984 132402 176536 198603 264804 353072 397206 507541 529608 706144 794412 1015082 1059216 1412288 1522623 1588824 2030164 2118432 2824576 3045246 3177648 4060328 4236864 4567869 5649152 6090492 6355296 8120656 8473728 9135738 11298304 12180984 12710592 16241312 16947456 18271476 24361968 25421184 32482624 33894912 36542952 48723936 50842368 64965248 73085904 97447872 101684736 129930496 146171808 194895744 259860992 292343616 389791488 584687232 779582976 1169374464 2338748928