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34450400 = 255243063
BaseRepresentation
bin1000001101101…
…0101111100000
32101211021001202
42003122233200
532304403100
63230220332
7565552325
oct203325740
971737052
1034450400
11184a0106
12b6546a8
1371a286a
14480ab4c
1530577d5
hex20dabe0

34450400 has 36 divisors (see below), whose sum is σ = 84103992. Its totient is φ = 13779840.

The previous prime is 34450397. The next prime is 34450417. The reversal of 34450400 is 405443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20732 + ... + 22331.

It is an arithmetic number, because the mean of its divisors is an integer number (2336222).

Almost surely, 234450400 is an apocalyptic number.

It is an amenable number.

34450400 is an abundant number, since it is smaller than the sum of its proper divisors (49653592).

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

34450400 is a wasteful number, since it uses less digits than its factorization.

34450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43083 (or 43070 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 34450400 is about 5869.4463111949. The cubic root of 34450400 is about 325.3854204577.

Adding to 34450400 its reverse (405443), we get a palindrome (34855843).

The spelling of 34450400 in words is "thirty-four million, four hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 43063 86126 172252 215315 344504 430630 689008 861260 1076575 1378016 1722520 2153150 3445040 4306300 6890080 8612600 17225200 34450400