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1337657244 = 22371143131257
BaseRepresentation
bin100111110111011…
…0000011110011100
310110020001000202220
41033232300132130
510214420012434
6340422345340
745101620230
oct11756603634
93406030686
101337657244
11627088760
12313b8b250
13184191381
14c99245c0
157c67cd49
hex4fbb079c

1337657244 has 192 divisors, whose sum is σ = 4027871232. Its totient is φ = 335462400.

The previous prime is 1337657221. The next prime is 1337657261. The reversal of 1337657244 is 4427567331.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1337657196 and 1337657205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5204764 + ... + 5205020.

It is an arithmetic number, because the mean of its divisors is an integer number (20978496).

Almost surely, 21337657244 is an apocalyptic number.

1337657244 is a gapful number since it is divisible by the number (14) 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 1337657244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013935616).

1337657244 is an abundant number, since it is smaller than the sum of its proper divisors (2690213988).

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

1337657244 is a wasteful number, since it uses less digits than its factorization.

1337657244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 1337657244 is about 36573.9968283479. The cubic root of 1337657244 is about 1101.8309023667.

The spelling of 1337657244 in words is "one billion, three hundred thirty-seven million, six hundred fifty-seven thousand, two hundred forty-four".