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3542640045 = 357533371889
BaseRepresentation
bin1101001100101000…
…0110010110101101
3100010220002202112120
43103022012112231
524223403440140
61343311023153
7153534641430
oct32312062655
910126082476
103542640045
11155880099a
1282a50aab9
13445c48a19
142586db817
1515b0311d0
hexd32865ad

3542640045 has 64 divisors (see below), whose sum is σ = 6623285760. Its totient is φ = 1583382528.

The previous prime is 3542640043. The next prime is 3542640071. The reversal of 3542640045 is 5400462453.

3542640045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3542640045 - 21 = 3542640043 is a prime.

It is a super-3 number, since 3×35426400453 (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3542639988 and 3542640015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542640043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874461 + ... + 1876349.

It is an arithmetic number, because the mean of its divisors is an integer number (103488840).

Almost surely, 23542640045 is an apocalyptic number.

3542640045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3542640045 is a deficient number, since it is larger than the sum of its proper divisors (3080645715).

3542640045 is a wasteful number, since it uses less digits than its factorization.

3542640045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294.

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 3542640045 is about 59520.0810231303. The cubic root of 3542640045 is about 1524.4353434024.

The spelling of 3542640045 in words is "three billion, five hundred forty-two million, six hundred forty thousand, forty-five".

Divisors: 1 3 5 7 15 21 35 53 105 159 265 337 371 795 1011 1113 1685 1855 1889 2359 5055 5565 5667 7077 9445 11795 13223 17861 28335 35385 39669 53583 66115 89305 100117 125027 198345 267915 300351 375081 500585 625135 636593 700819 1501755 1875405 1909779 2102457 3182965 3504095 4456151 9548895 10512285 13368453 22280755 33739429 66842265 101218287 168697145 236176003 506091435 708528009 1180880015 3542640045