Search a number
-
+
1338006450 = 235211810913
BaseRepresentation
bin100111111000000…
…0101101110110010
310110020200202210110
41033300011232302
510220012201300
6340434042150
745104603304
oct11760055662
93406622713
101338006450
116272a7060
12314119356
131842842c1
14c99b5974
157c6eb550
hex4fc05bb2

1338006450 has 48 divisors (see below), whose sum is σ = 3619920096. Its totient is φ = 324364800.

The previous prime is 1338006443. The next prime is 1338006473. The reversal of 1338006450 is 546008331.

It is a super-2 number, since 2×13380064502 = 3580522520483205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403807 + ... + 407106.

It is an arithmetic number, because the mean of its divisors is an integer number (75415002).

Almost surely, 21338006450 is an apocalyptic number.

1338006450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1338006450 is an abundant number, since it is smaller than the sum of its proper divisors (2281913646).

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

1338006450 is a wasteful number, since it uses less digits than its factorization.

1338006450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810939 (or 810934 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1338006450 is about 36578.7704823440. The cubic root of 1338006450 is about 1101.9267745807.

The spelling of 1338006450 in words is "one billion, three hundred thirty-eight million, six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 810913 1621826 2432739 4054565 4865478 8109130 8920043 12163695 17840086 20272825 24327390 26760129 40545650 44600215 53520258 60818475 89200430 121636950 133800645 223001075 267601290 446002150 669003225 1338006450