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1354144040 = 23533853601
BaseRepresentation
bin101000010110110…
…1001100100101000
310111101001122101222
41100231221210220
510233130102130
6342212001212
745362014544
oct12055514450
93441048358
101354144040
11635419507
12319600208
13187714682
14cbbb6a24
157dd37ce5
hex50b69928

1354144040 has 16 divisors (see below), whose sum is σ = 3046824180. Its totient is φ = 541657600.

The previous prime is 1354144013. The next prime is 1354144069. The reversal of 1354144040 is 404414531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1352621284 + 1522756 = 36778^2 + 1234^2 .

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 3 ways as a sum of consecutive naturals, for example, 16926761 + ... + 16926840.

Almost surely, 21354144040 is an apocalyptic number.

1354144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1354144040 is an abundant number, since it is smaller than the sum of its proper divisors (1692680140).

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

1354144040 is a wasteful number, since it uses less digits than its factorization.

1354144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33853612 (or 33853608 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1354144040 is about 36798.6961725548. The cubic root of 1354144040 is about 1106.3391665708.

Adding to 1354144040 its reverse (404414531), we get a palindrome (1758558571).

The spelling of 1354144040 in words is "one billion, three hundred fifty-four million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 33853601 67707202 135414404 169268005 270828808 338536010 677072020 1354144040