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1348078680 = 233351396017
BaseRepresentation
bin101000001011010…
…0000110001011000
310110221122111022000
41100112200301120
510230102004210
6341434001000
745256323354
oct12026406130
93427574260
101348078680
11631a56513
12317576160
1318639c9c0
14cb078464
157d53aac0
hex505a0c58

1348078680 has 128 divisors (see below), whose sum is σ = 4839307200. Its totient is φ = 331831296.

The previous prime is 1348078651. The next prime is 1348078703. The reversal of 1348078680 is 868708431.

1348078680 is a `hidden beast` number, since 13 + 480 + 7 + 86 + 80 = 666.

It is a super-2 number, since 2×13480786802 = 3634632254941084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33969 + ... + 62048.

Almost surely, 21348078680 is an apocalyptic number.

1348078680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348078680 is an abundant number, since it is smaller than the sum of its proper divisors (3491228520).

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

1348078680 is a wasteful number, since it uses less digits than its factorization.

1348078680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96050 (or 96040 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1348078680 is about 36716.1909789128. The cubic root of 1348078680 is about 1104.6848892991.

The spelling of 1348078680 in words is "one billion, three hundred forty-eight million, seventy-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 96017 192034 288051 384068 480085 576102 768136 864153 960170 1152204 1248221 1440255 1728306 1920340 2304408 2496442 2592459 2880510 3456612 3744663 3840680 4320765 4992884 5184918 5761020 6241105 6913224 7489326 8641530 9985768 10369836 11233989 11522040 12482210 12962295 14978652 17283060 18723315 20739672 22467978 24964420 25924590 29957304 33701967 34566120 37446630 44935956 49928840 51849180 56169945 67403934 74893260 89871912 103698360 112339890 134807868 149786520 168509835 224679780 269615736 337019670 449359560 674039340 1348078680