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1244077380 = 223557132997
BaseRepresentation
bin100101000100111…
…0001110101000100
310012200221200100000
41022021301311010
510021440434010
6323240521300
742554324520
oct11211616504
93180850300
101244077380
11589281827
122a8780230
1316a987b80
14bb324d80
15743457c0
hex4a271d44

1244077380 has 576 divisors, whose sum is σ = 5034032640. Its totient is φ = 250822656.

The previous prime is 1244077369. The next prime is 1244077403. The reversal of 1244077380 is 837704421.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12825492 + ... + 12825588.

It is an arithmetic number, because the mean of its divisors is an integer number (8739640).

Almost surely, 21244077380 is an apocalyptic number.

1244077380 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 1244077380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517016320).

1244077380 is an abundant number, since it is smaller than the sum of its proper divisors (3789955260).

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

1244077380 is a wasteful number, since it uses less digits than its factorization.

1244077380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1244077380 is about 35271.4811143507. The cubic root of 1244077380 is about 1075.5133311840.

The spelling of 1244077380 in words is "one billion, two hundred forty-four million, seventy-seven thousand, three hundred eighty".