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354191343 = 31137290083
BaseRepresentation
bin10101000111001…
…000011111101111
3220200110210011220
4111013020133233
51211133110333
655051314423
711530401552
oct2507103757
9820423156
10354191343
11171a28220
129a74ba13
13584c2b9c
143507c699
15211658b3
hex151c87ef

354191343 has 16 divisors (see below), whose sum is σ = 529113216. Its totient is φ = 208859040.

The previous prime is 354191317. The next prime is 354191351. The reversal of 354191343 is 343191453.

It is a happy number.

It is not a de Polignac number, because 354191343 - 212 = 354187247 is a prime.

It is a super-3 number, since 3×3541913433 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354191303) 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 15 ways as a sum of consecutive naturals, for example, 143821 + ... + 146262.

It is an arithmetic number, because the mean of its divisors is an integer number (33069576).

Almost surely, 2354191343 is an apocalyptic number.

354191343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

354191343 is a deficient number, since it is larger than the sum of its proper divisors (174921873).

354191343 is a wasteful number, since it uses less digits than its factorization.

354191343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290134.

The product of its digits is 19440, while the sum is 33.

The square root of 354191343 is about 18819.9719181512. The cubic root of 354191343 is about 707.5318272421.

The spelling of 354191343 in words is "three hundred fifty-four million, one hundred ninety-one thousand, three hundred forty-three".

Divisors: 1 3 11 33 37 111 407 1221 290083 870249 3190913 9572739 10733071 32199213 118063781 354191343