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340034200 = 235211214051
BaseRepresentation
bin10100010001001…
…000001010011000
3212200211112020021
4110101020022120
51144022043300
653424040224
711266146232
oct2421101230
9780745207
10340034200
11164a38800
1295a63074
13555a708c
1433235252
151ecbad1a
hex14448298

340034200 has 72 divisors (see below), whose sum is σ = 869045940. Its totient is φ = 123640000.

The previous prime is 340034173. The next prime is 340034207. The reversal of 340034200 is 2430043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340034207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17175 + ... + 31225.

Almost surely, 2340034200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434522970).

340034200 is an abundant number, since it is smaller than the sum of its proper divisors (529011740).

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

340034200 is a wasteful number, since it uses less digits than its factorization.

340034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14089 (or 14069 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 340034200 is about 18440.0162689733. The cubic root of 340034200 is about 697.9766058667.

Adding to 340034200 its reverse (2430043), we get a palindrome (342464243).

The spelling of 340034200 in words is "three hundred forty million, thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 14051 24200 28102 56204 70255 112408 140510 154561 281020 309122 351275 562040 618244 702550 772805 1236488 1405100 1545610 1700171 2810200 3091220 3400342 3864025 6182440 6800684 7728050 8500855 13601368 15456100 17001710 30912200 34003420 42504275 68006840 85008550 170017100 340034200