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1130343004 = 227235971419
BaseRepresentation
bin100001101011111…
…1010101001011100
32220202221101002201
41003113322221130
54303331434004
6304055101244
740003520440
oct10327725134
92822841081
101130343004
1153005a47a
12276671824
13150245b1b
14aa19a820
156937b6a4
hex435faa5c

1130343004 has 96 divisors (see below), whose sum is σ = 2438553600. Its totient is φ = 448029120.

The previous prime is 1130342999. The next prime is 1130343029. The reversal of 1130343004 is 4003430311.

It is a super-3 number, since 3×11303430043 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2697507 + ... + 2697925.

It is an arithmetic number, because the mean of its divisors is an integer number (25401600).

Almost surely, 21130343004 is an apocalyptic number.

1130343004 is a gapful number since it is divisible by the number (14) 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 1130343004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276800).

1130343004 is an abundant number, since it is smaller than the sum of its proper divisors (1308210596).

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

1130343004 is a wasteful number, since it uses less digits than its factorization.

1130343004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1130343004 is about 33620.5741176441. The cubic root of 1130343004 is about 1041.6858149213.

Adding to 1130343004 its reverse (4003430311), we get a palindrome (5133773315).

The spelling of 1130343004 in words is "one billion, one hundred thirty million, three hundred forty-three thousand, four".

Divisors: 1 2 4 7 14 23 28 46 59 71 92 118 142 161 236 284 322 413 419 497 644 826 838 994 1357 1633 1652 1676 1988 2714 2933 3266 4189 5428 5866 6532 8378 9499 9637 11431 11732 16756 18998 19274 22862 24721 29323 29749 37996 38548 45724 49442 58646 59498 67459 96347 98884 117292 118996 134918 173047 192694 208243 269836 346094 385388 416486 568583 674429 684227 692188 832972 1137166 1348858 1368454 1755191 2274332 2697716 2736908 3510382 3980081 4789589 7020764 7960162 9579178 12286337 15920324 19158356 24572674 40369393 49145348 80738786 161477572 282585751 565171502 1130343004