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1268679348 = 22344438839
BaseRepresentation
bin100101110011110…
…1000001010110100
310021102020120220000
41023213220022310
510044240214343
6325520111300
743303411416
oct11347501264
93242216800
101268679348
115a1155632
122b4a65530
13172abcb51
14c06ca9b6
15765a4ed3
hex4b9e82b4

1268679348 has 60 divisors (see below), whose sum is σ = 3324441120. Its totient is φ = 421890768.

The previous prime is 1268679329. The next prime is 1268679361. The reversal of 1268679348 is 8439768621.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1268679294 and 1268679303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139113 + ... + 147951.

It is an arithmetic number, because the mean of its divisors is an integer number (55407352).

Almost surely, 21268679348 is an apocalyptic number.

1268679348 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 1268679348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662220560).

1268679348 is an abundant number, since it is smaller than the sum of its proper divisors (2055761772).

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

1268679348 is a wasteful number, since it uses less digits than its factorization.

1268679348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9287 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1268679348 is about 35618.5253484756. The cubic root of 1268679348 is about 1082.5566282355.

The spelling of 1268679348 in words is "one billion, two hundred sixty-eight million, six hundred seventy-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 443 886 1329 1772 2658 3987 5316 7974 8839 11961 15948 17678 23922 26517 35356 35883 47844 53034 71766 79551 106068 143532 159102 238653 318204 477306 715959 954612 1431918 2863836 3915677 7831354 11747031 15662708 23494062 35241093 46988124 70482186 105723279 140964372 211446558 317169837 422893116 634339674 1268679348