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343383960 = 233519150607
BaseRepresentation
bin10100011101111…
…001111110011000
3212221010201020110
4110131321332120
51200401241320
654023524320
711336500263
oct2435717630
9787121213
10343383960
111669164a7
1296bb96a0
13561aa99a
1433867cda
152022d5e0
hex14779f98

343383960 has 64 divisors (see below), whose sum is σ = 1084377600. Its totient is φ = 86749056.

The previous prime is 343383947. The next prime is 343383961. The reversal of 343383960 is 69383343.

343383960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343383961) 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, 73024 + ... + 77583.

It is an arithmetic number, because the mean of its divisors is an integer number (16943400).

Almost surely, 2343383960 is an apocalyptic number.

343383960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343383960 is an abundant number, since it is smaller than the sum of its proper divisors (740993640).

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

343383960 is a wasteful number, since it uses less digits than its factorization.

343383960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150640 (or 150636 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 343383960 is about 18530.6222237679. The cubic root of 343383960 is about 700.2610998766.

The spelling of 343383960 in words is "three hundred forty-three million, three hundred eighty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 150607 301214 451821 602428 753035 903642 1204856 1506070 1807284 2259105 2861533 3012140 3614568 4518210 5723066 6024280 8584599 9036420 11446132 14307665 17169198 18072840 22892264 28615330 34338396 42922995 57230660 68676792 85845990 114461320 171691980 343383960