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343386972 = 22334177549
BaseRepresentation
bin10100011101111…
…010101101011100
3212221010212101000
4110131322231130
51200401340342
654023550300
711336512125
oct2435725534
9787125330
10343386972
11166918795
1296bbb390
13561ac176
143386904c
152022e44c
hex1477ab5c

343386972 has 48 divisors (see below), whose sum is σ = 911988000. Its totient is φ = 111669120.

The previous prime is 343386959. The next prime is 343386991. The reversal of 343386972 is 279683343.

343386972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3433869722 = 235829225078657568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 34347 + ... + 43202.

It is an arithmetic number, because the mean of its divisors is an integer number (18999750).

Almost surely, 2343386972 is an apocalyptic number.

It is an amenable number.

343386972 is an abundant number, since it is smaller than the sum of its proper divisors (568601028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343386972 is a wasteful number, since it uses less digits than its factorization.

343386972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77603 (or 77595 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 343386972 is about 18530.7034944710. The cubic root of 343386972 is about 700.2631473225.

The spelling of 343386972 in words is "three hundred forty-three million, three hundred eighty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 77549 155098 232647 310196 465294 697941 930588 1395882 2093823 2791764 3179509 4187646 6359018 8375292 9538527 12718036 19077054 28615581 38154108 57231162 85846743 114462324 171693486 343386972