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3540363345 = 3251573131601
BaseRepresentation
bin1101001100000101…
…1010100001010001
3100010201211002111100
43103001122201101
524222313111340
61343150135013
7153506410011
oct32301324121
910121732440
103540363345
111557496422
128297b1469
1344562c66c
142582a7c41
1515ac31830
hexd305a851

3540363345 has 48 divisors (see below), whose sum is σ = 6199317072. Its totient is φ = 1869004800.

The previous prime is 3540363341. The next prime is 3540363349. The reversal of 3540363345 is 5433630453.

It is an interprime number because it is at equal distance from previous prime (3540363341) and next prime (3540363349).

It can be written as a sum of positive squares in 8 ways, for example, as 92794689 + 3447568656 = 9633^2 + 58716^2 .

It is not a de Polignac number, because 3540363345 - 22 = 3540363341 is a prime.

It is a super-2 number, since 2×35403633452 = 25068345229239178050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3540363341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2210545 + ... + 2212145.

It is an arithmetic number, because the mean of its divisors is an integer number (129152439).

Almost surely, 23540363345 is an apocalyptic number.

It is an amenable number.

3540363345 is a deficient number, since it is larger than the sum of its proper divisors (2658953727).

3540363345 is a wasteful number, since it uses less digits than its factorization.

3540363345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The square root of 3540363345 is about 59500.9524713681. The cubic root of 3540363345 is about 1524.1087107543.

Adding to 3540363345 its reverse (5433630453), we get a palindrome (8973993798).

The spelling of 3540363345 in words is "three billion, five hundred forty million, three hundred sixty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 157 313 471 785 939 1413 1565 1601 2355 2817 4695 4803 7065 8005 14085 14409 24015 49141 72045 147423 245705 251357 442269 501113 737115 754071 1256785 1503339 2211345 2262213 2505565 3770355 4510017 7516695 11311065 22550085 78674741 236024223 393373705 708072669 1180121115 3540363345