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1334075625 = 32544872
BaseRepresentation
bin100111110000100…
…0110000011101001
310102222022001201100
41033201012003221
510213010410000
6340213512013
745026312211
oct11741060351
93388261640
101334075625
11625061843
12312942609
1318350907c
14c9271241
157c1c1a00
hex4f8460e9

1334075625 has 45 divisors (see below), whose sum is σ = 2412931521. Its totient is φ = 710046000.

The previous prime is 1334075623. The next prime is 1334075651. The reversal of 1334075625 is 5265704331.

The square root of 1334075625 is 36525.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 104591529 + 1229484096 = 10227^2 + 35064^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1334075625 - 21 = 1334075623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1334075625.

It is not an unprimeable number, because it can be changed into a prime (1334075623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2739132 + ... + 2739618.

Almost surely, 21334075625 is an apocalyptic number.

1334075625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1334075625 is the 36525-th square number.

1334075625 is the 18263-rd centered octagonal number.

It is an amenable number.

1334075625 is a deficient number, since it is larger than the sum of its proper divisors (1078855896).

1334075625 is an frugal number, since it uses more digits than its factorization.

1334075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The cubic root of 1334075625 is about 1100.8466278302.

Multiplying 1334075625 by its sum of digits (36), we get a square (48026722500 = 2191502).

Adding to 1334075625 its reverse (5265704331), we get a palindrome (6599779956).

The spelling of 1334075625 in words is "one billion, three hundred thirty-four million, seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 487 625 1125 1461 1875 2435 4383 5625 7305 12175 21915 36525 60875 109575 182625 237169 304375 547875 711507 913125 1185845 2134521 2739375 3557535 5929225 10672605 17787675 29646125 53363025 88938375 148230625 266815125 444691875 1334075625