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540303045 = 35377871237
BaseRepresentation
bin100000001101000…
…101111011000101
31101122200020102220
4200031011323011
52101304144140
6125340322553
716250333352
oct4015057305
91348606386
10540303045
11257a94747
12130b43459
1387c26859
1451a87629
1532679bd0
hex20345ec5

540303045 has 32 divisors (see below), whose sum is σ = 889696128. Its totient is φ = 279790848.

The previous prime is 540303011. The next prime is 540303067.

It is a happy number.

540303045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540303045 - 29 = 540302533 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 436167 + ... + 437403.

It is an arithmetic number, because the mean of its divisors is an integer number (27803004).

Almost surely, 2540303045 is an apocalyptic number.

It is an amenable number.

540303045 is a deficient number, since it is larger than the sum of its proper divisors (349393083).

540303045 is a wasteful number, since it uses less digits than its factorization.

540303045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 540303045 is about 23244.4196528973. The cubic root of 540303045 is about 814.4775881001.

It can be divided in two parts, 54030 and 3045, that added together give a palindrome (57075).

The spelling of 540303045 in words is "five hundred forty million, three hundred three thousand, forty-five".

Divisors: 1 3 5 15 37 111 185 555 787 1237 2361 3711 3935 6185 11805 18555 29119 45769 87357 137307 145595 228845 436785 686535 973519 2920557 4867595 14602785 36020203 108060609 180101015 540303045