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354231141 = 31131714877
BaseRepresentation
bin10101000111010…
…010001101100101
3220200112210202220
4111013102031211
51211140344031
655052222553
711530625565
oct2507221545
9820483686
10354231141
11171a55110
129a76aa59
1358508034
143508cda5
1521172596
hex151d2365

354231141 has 32 divisors (see below), whose sum is σ = 539467776. Its totient is φ = 204792000.

The previous prime is 354231131. The next prime is 354231191. The reversal of 354231141 is 141132453.

It is a happy number.

It is not a de Polignac number, because 354231141 - 211 = 354229093 is a prime.

It is a super-3 number, since 3×3542311413 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354231121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70195 + ... + 75071.

It is an arithmetic number, because the mean of its divisors is an integer number (16858368).

Almost surely, 2354231141 is an apocalyptic number.

354231141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

354231141 is a deficient number, since it is larger than the sum of its proper divisors (185236635).

354231141 is a wasteful number, since it uses less digits than its factorization.

354231141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993.

The product of its digits is 1440, while the sum is 24.

The square root of 354231141 is about 18821.0292226541. The cubic root of 354231141 is about 707.5583263813.

Adding to 354231141 its reverse (141132453), we get a palindrome (495363594).

The spelling of 354231141 in words is "three hundred fifty-four million, two hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 11 31 33 71 93 213 341 781 1023 2201 2343 4877 6603 14631 24211 53647 72633 151187 160941 346267 453561 1038801 1663057 3808937 4989171 10734277 11426811 32202831 118077047 354231141