Search a number
-
+
1020312336 = 243292273229
BaseRepresentation
bin111100110100001…
…011101100010000
32122002220020101210
4330310023230100
54042144443321
6245124500120
734166340351
oct7464135420
92562806353
101020312336
11483a3783a
1224584a640
131334cc814
1499717d28
155e894b76
hex3cd0bb10

1020312336 has 80 divisors (see below), whose sum is σ = 2739556800. Its totient is φ = 326828544.

The previous prime is 1020312283. The next prime is 1020312353. The reversal of 1020312336 is 6332130201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314370 + ... + 317598.

It is an arithmetic number, because the mean of its divisors is an integer number (34244460).

Almost surely, 21020312336 is an apocalyptic number.

1020312336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020312336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369778400).

1020312336 is an abundant number, since it is smaller than the sum of its proper divisors (1719244464).

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

1020312336 is a wasteful number, since it uses less digits than its factorization.

1020312336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1020312336 is about 31942.3282808251. The cubic root of 1020312336 is about 1006.7254456466.

Adding to 1020312336 its reverse (6332130201), we get a palindrome (7352442537).

The spelling of 1020312336 in words is "one billion, twenty million, three hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 227 232 348 454 464 681 696 908 1362 1392 1816 2724 3229 3632 5448 6458 6583 9687 10896 12916 13166 19374 19749 25832 26332 38748 39498 51664 52664 77496 78996 93641 105328 154992 157992 187282 280923 315984 374564 561846 732983 749128 1123692 1465966 1498256 2198949 2247384 2931932 4397898 4494768 5863864 8795796 11727728 17591592 21256507 35183184 42513014 63769521 85026028 127539042 170052056 255078084 340104112 510156168 1020312336