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343454040 = 233351631951
BaseRepresentation
bin10100011110001…
…011000101011000
3212221021021101000
4110132023011120
51200411012130
654025225000
711340211506
oct2436130530
9787237330
10343454040
11166964116
1297032160
1356203857
1433885676
1520244260
hex1478b158

343454040 has 128 divisors (see below), whose sum is σ = 1152460800. Its totient is φ = 90979200.

The previous prime is 343454003. The next prime is 343454081. The reversal of 343454040 is 40454343.

343454040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 343453995 and 343454013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175065 + ... + 177015.

It is an arithmetic number, because the mean of its divisors is an integer number (9003600).

Almost surely, 2343454040 is an apocalyptic number.

343454040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343454040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576230400).

343454040 is an abundant number, since it is smaller than the sum of its proper divisors (809006760).

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

343454040 is a wasteful number, since it uses less digits than its factorization.

343454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 343454040 is about 18532.5130513916. The cubic root of 343454040 is about 700.3087345611.

The spelling of 343454040 in words is "three hundred forty-three million, four hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 163 180 216 270 326 360 489 540 652 815 978 1080 1304 1467 1630 1951 1956 2445 2934 3260 3902 3912 4401 4890 5853 5868 6520 7335 7804 8802 9755 9780 11706 11736 14670 15608 17559 17604 19510 19560 22005 23412 29265 29340 35118 35208 39020 44010 46824 52677 58530 58680 70236 78040 87795 88020 105354 117060 140472 175590 176040 210708 234120 263385 318013 351180 421416 526770 636026 702360 954039 1053540 1272052 1590065 1908078 2107080 2544104 2862117 3180130 3816156 4770195 5724234 6360260 7632312 8586351 9540390 11448468 12720520 14310585 17172702 19080780 22896936 28621170 34345404 38161560 42931755 57242340 68690808 85863510 114484680 171727020 343454040