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1244737368 = 23357234197
BaseRepresentation
bin100101000110001…
…0010111101011000
310012202012012200000
41022030102331120
510022123043433
6323303013000
742563043630
oct11214227530
93182165600
101244737368
11589692676
122a8a3a160
1316ab593b4
14bb4576c0
1574426113
hex4a312f58

1244737368 has 384 divisors, whose sum is σ = 4314885120. Its totient is φ = 328458240.

The previous prime is 1244737343. The next prime is 1244737379. The reversal of 1244737368 is 8637374421.

It is a super-2 number, since 2×12447373682 = 3098742230591134848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (677376) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12832296 + ... + 12832392.

It is an arithmetic number, because the mean of its divisors is an integer number (11236680).

Almost surely, 21244737368 is an apocalyptic number.

1244737368 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 1244737368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157442560).

1244737368 is an abundant number, since it is smaller than the sum of its proper divisors (3070147752).

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

1244737368 is a wasteful number, since it uses less digits than its factorization.

1244737368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 1244737368 is about 35280.8357043877. The cubic root of 1244737368 is about 1075.7034855959.

It can be divided in two parts, 124473 and 7368, that added together give a triangular number (131841 = T513).

The spelling of 1244737368 in words is "one billion, two hundred forty-four million, seven hundred thirty-seven thousand, three hundred sixty-eight".