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1354868541 = 321314338081
BaseRepresentation
bin101000011000001…
…1010011100111101
310111102102110020100
41100300122130331
510233321243131
6342235311313
745401123025
oct12060323475
93442373210
101354868541
11635873874
123198ab539
13187909380
14cbd24a85
157de2c7e6
hex50c1a73d

1354868541 has 24 divisors (see below), whose sum is σ = 2109305016. Its totient is φ = 833080320.

The previous prime is 1354868519. The next prime is 1354868563. The reversal of 1354868541 is 1458684531.

1354868541 is a `hidden beast` number, since 1 + 3 + 5 + 48 + 68 + 541 = 666.

It is an interprime number because it is at equal distance from previous prime (1354868519) and next prime (1354868563).

It can be written as a sum of positive squares in 4 ways, for example, as 115476516 + 1239392025 = 10746^2 + 35205^2 .

It is not a de Polignac number, because 1354868541 - 25 = 1354868509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354868041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163621 + ... + 171701.

It is an arithmetic number, because the mean of its divisors is an integer number (87887709).

Almost surely, 21354868541 is an apocalyptic number.

It is an amenable number.

1354868541 is a deficient number, since it is larger than the sum of its proper divisors (754436475).

1354868541 is a wasteful number, since it uses less digits than its factorization.

1354868541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9530 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 1354868541 is about 36808.5389685600. The cubic root of 1354868541 is about 1106.5364377873.

The spelling of 1354868541 in words is "one billion, three hundred fifty-four million, eight hundred sixty-eight thousand, five hundred forty-one".

Divisors: 1 3 9 13 39 117 1433 4299 8081 12897 18629 24243 55887 72729 105053 167661 315159 945477 11580073 34740219 104220657 150540949 451622847 1354868541