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1072388331 = 32747715101
BaseRepresentation
bin111111111010110…
…101100011101011
32202201212222020100
4333322311203223
54144012411311
6254225000443
735401102410
oct7772654353
92681788210
101072388331
11500376253
1225b183123
13141233b11
14a25d2107
156422ea56
hex3feb58eb

1072388331 has 48 divisors (see below), whose sum is σ = 1833781248. Its totient is φ = 591192000.

The previous prime is 1072388321. The next prime is 1072388351. The reversal of 1072388331 is 1338832701.

It is not a de Polignac number, because 1072388331 - 29 = 1072387819 is a prime.

It is a super-2 number, since 2×10723883312 = 2300033464929931122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1072388321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207681 + ... + 212781.

It is an arithmetic number, because the mean of its divisors is an integer number (38203776).

Almost surely, 21072388331 is an apocalyptic number.

1072388331 is a deficient number, since it is larger than the sum of its proper divisors (761392917).

1072388331 is a wasteful number, since it uses less digits than its factorization.

1072388331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1072388331 is about 32747.3408233401. The cubic root of 1072388331 is about 1023.5695552481.

It can be divided in two parts, 1072 and 388331, that added together give a triangular number (389403 = T882).

The spelling of 1072388331 in words is "one billion, seventy-two million, three hundred eighty-eight thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 47 63 71 141 213 329 423 497 639 987 1491 2961 3337 4473 5101 10011 15303 23359 30033 35707 45909 70077 107121 210231 239747 321363 362171 719241 1086513 1678229 2157723 2535197 3259539 5034687 7605591 15104061 17022037 22816773 51066111 119154259 153198333 357462777 1072388331