Search a number
-
+
354205101 = 32931612153
BaseRepresentation
bin10101000111001…
…011110110101101
3220200111111001110
4111013023312231
51211134030401
655051502233
711530456635
oct2507136655
9820444043
10354205101
11171a37598
129a757979
13584c9223
14350836c5
15211699d6
hex151cbdad

354205101 has 32 divisors (see below), whose sum is σ = 512824320. Its totient is φ = 216921600.

The previous prime is 354205099. The next prime is 354205121. The reversal of 354205101 is 101502453.

It is not a de Polignac number, because 354205101 - 21 = 354205099 is a prime.

It is a super-3 number, since 3×3542051013 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354205121) 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 31 ways as a sum of consecutive naturals, for example, 163441 + ... + 165593.

It is an arithmetic number, because the mean of its divisors is an integer number (16025760).

Almost surely, 2354205101 is an apocalyptic number.

354205101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

354205101 is a deficient number, since it is larger than the sum of its proper divisors (158619219).

354205101 is a wasteful number, since it uses less digits than its factorization.

354205101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 354205101 is about 18820.3374305563. The cubic root of 354205101 is about 707.5409881068.

Adding to 354205101 its reverse (101502453), we get a palindrome (455707554).

The spelling of 354205101 in words is "three hundred fifty-four million, two hundred five thousand, one hundred one".

Divisors: 1 3 29 31 61 87 93 183 899 1769 1891 2153 2697 5307 5673 6459 54839 62437 66743 131333 164517 187311 200229 393999 1935547 3808657 4071323 5806641 11425971 12213969 118068367 354205101