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342064541 = 72132918517
BaseRepresentation
bin10100011000110…
…111110110011101
3212211122200100002
4110120313312131
51200032031131
653535344045
711322333500
oct2430676635
9784580302
10342064541
111660a5175
1296682025
1355b38270
1433603137
152006c6cb
hex14637d9d

342064541 has 24 divisors (see below), whose sum is σ = 443320920. Its totient is φ = 261297792.

The previous prime is 342064529. The next prime is 342064553. The reversal of 342064541 is 145460243.

It is an interprime number because it is at equal distance from previous prime (342064529) and next prime (342064553).

It can be written as a sum of positive squares in 4 ways, for example, as 3136441 + 338928100 = 1771^2 + 18410^2 .

It is a de Polignac number, because none of the positive numbers 2k-342064541 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342064501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215 + ... + 27731.

It is an arithmetic number, because the mean of its divisors is an integer number (18471705).

Almost surely, 2342064541 is an apocalyptic number.

It is an amenable number.

342064541 is a deficient number, since it is larger than the sum of its proper divisors (101256379).

342064541 is a wasteful number, since it uses less digits than its factorization.

342064541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18573 (or 18566 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 342064541 is about 18494.9869153779. The cubic root of 342064541 is about 699.3630539373.

The spelling of 342064541 in words is "three hundred forty-two million, sixty-four thousand, five hundred forty-one".

Divisors: 1 7 13 29 49 91 203 377 637 1421 2639 18473 18517 129619 240721 536993 907333 1685047 3758951 6980909 11795329 26312657 48866363 342064541