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1347318140 = 225743792833
BaseRepresentation
bin101000001001110…
…0111000101111100
310110220012212000212
41100103213011330
510224403140030
6341405411552
745250005140
oct12023470574
93426185025
101347318140
11631587073
12317269bb8
1318619478c
14cad1b220
157d43a595
hex504e717c

1347318140 has 96 divisors (see below), whose sum is σ = 3351828480. Its totient is φ = 445326336.

The previous prime is 1347318113. The next prime is 1347318169. The reversal of 1347318140 is 418137431.

It is a junction number, because it is equal to n+sod(n) for n = 1347318097 and 1347318106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474164 + ... + 476996.

It is an arithmetic number, because the mean of its divisors is an integer number (34914880).

Almost surely, 21347318140 is an apocalyptic number.

1347318140 is a gapful number since it is divisible by the number (10) 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 1347318140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675914240).

1347318140 is an abundant number, since it is smaller than the sum of its proper divisors (2004510340).

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

1347318140 is a wasteful number, since it uses less digits than its factorization.

1347318140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1347318140 is about 36705.8325065649. The cubic root of 1347318140 is about 1104.4771083775.

It can be divided in two parts, 13473 and 18140, that added together give a palindrome (31613).

The spelling of 1347318140 in words is "one billion, three hundred forty-seven million, three hundred eighteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 79 86 140 158 172 215 301 316 395 430 553 602 790 860 1106 1204 1505 1580 2212 2765 2833 3010 3397 5530 5666 6020 6794 11060 11332 13588 14165 16985 19831 23779 28330 33970 39662 47558 56660 67940 79324 95116 99155 118895 121819 198310 223807 237790 243638 396620 447614 475580 487276 609095 852733 895228 1119035 1218190 1566649 1705466 2238070 2436380 3133298 3410932 4263665 4476140 6266596 7833245 8527330 9623701 15666490 17054660 19247402 31332980 38494804 48118505 67365907 96237010 134731814 192474020 269463628 336829535 673659070 1347318140