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34442900 = 2252344429
BaseRepresentation
bin1000001101100…
…0111010010100
32101210212202222
42003120322110
532304133100
63230121512
7565521422
oct203307224
971725688
1034442900
1118495508
12b650298
13719c31b
144808112
153055485
hex20d8e94

34442900 has 18 divisors (see below), whose sum is σ = 74741310. Its totient is φ = 13777120.

The previous prime is 34442899. The next prime is 34442909. The reversal of 34442900 is 924443.

It can be written as a sum of positive squares in 3 ways, for example, as 126736 + 34316164 = 356^2 + 5858^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34442900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172115 + ... + 172314.

It is an arithmetic number, because the mean of its divisors is an integer number (4152295).

Almost surely, 234442900 is an apocalyptic number.

It is an amenable number.

34442900 is an abundant number, since it is smaller than the sum of its proper divisors (40298410).

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

34442900 is a wasteful number, since it uses less digits than its factorization.

34442900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344443 (or 344436 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 34442900 is about 5868.8073745864. The cubic root of 34442900 is about 325.3618061429.

The spelling of 34442900 in words is "thirty-four million, four hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 344429 688858 1377716 1722145 3444290 6888580 8610725 17221450 34442900