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1034048331 = 322941711361
BaseRepresentation
bin111101101000100…
…101001101001011
32200001202002122100
4331220211031023
54104204021311
6250335124443
734424160111
oct7550451513
92601662570
101034048331
114907698a8
1224a373723
131362cba24
149b491ab1
1560ba9a56
hex3da2534b

1034048331 has 48 divisors (see below), whose sum is σ = 1606288320. Its totient is φ = 639744000.

The previous prime is 1034048311. The next prime is 1034048339. The reversal of 1034048331 is 1338404301.

It is not a de Polignac number, because 1034048331 - 25 = 1034048299 is a prime.

It is a super-2 number, since 2×10340483312 = 2138511901687771122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034048295 and 1034048304.

It is not an unprimeable number, because it can be changed into a prime (1034048339) 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, 759091 + ... + 760451.

It is an arithmetic number, because the mean of its divisors is an integer number (33464340).

Almost surely, 21034048331 is an apocalyptic number.

1034048331 is a deficient number, since it is larger than the sum of its proper divisors (572239989).

1034048331 is a wasteful number, since it uses less digits than its factorization.

1034048331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1034048331 is about 32156.6218841470. The cubic root of 1034048331 is about 1011.2230163678.

The spelling of 1034048331 in words is "one billion, thirty-four million, forty-eight thousand, three hundred thirty-one".

Divisors: 1 3 9 29 41 71 87 123 213 261 369 639 1189 1361 2059 2911 3567 4083 6177 8733 10701 12249 18531 26199 39469 55801 84419 96631 118407 167403 253257 289893 355221 502209 759771 869679 1618229 2802299 3961871 4854687 8406897 11885613 14564061 25220691 35656839 114894259 344682777 1034048331