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1307412468 = 223324150231
BaseRepresentation
bin100110111101101…
…1000011111110100
310101010010102202000
41031323120133310
510134144144333
6333422215300
744253552105
oct11573303764
93333112660
101307412468
1161100037a
12305a24530
1317ab31b5b
14c58d03ac
1579ba6713
hex4ded87f4

1307412468 has 48 divisors (see below), whose sum is σ = 3403720320. Its totient is φ = 433987200.

The previous prime is 1307412461. The next prime is 1307412479. The reversal of 1307412468 is 8642147031.

It is a super-2 number, since 2×13074124682 = 3418654722963702048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307412461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913 + ... + 51143.

It is an arithmetic number, because the mean of its divisors is an integer number (70910840).

Almost surely, 21307412468 is an apocalyptic number.

1307412468 is a gapful number since it is divisible by the number (18) 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 1307412468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701860160).

1307412468 is an abundant number, since it is smaller than the sum of its proper divisors (2096307852).

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

1307412468 is a wasteful number, since it uses less digits than its factorization.

1307412468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50485 (or 50477 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1307412468 is about 36158.1590792452. The cubic root of 1307412468 is about 1093.4632900831.

Adding to 1307412468 its reverse (8642147031), we get a palindrome (9949559499).

The spelling of 1307412468 in words is "one billion, three hundred seven million, four hundred twelve thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 482 723 964 1446 2169 2892 4338 6507 8676 13014 26028 50231 100462 150693 200924 301386 452079 602772 904158 1356237 1808316 2712474 5424948 12105671 24211342 36317013 48422684 72634026 108951039 145268052 217902078 326853117 435804156 653706234 1307412468