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3438897300 = 2232523820997
BaseRepresentation
bin1100110011111001…
…0110100010010100
322212122220002020200
43030332112202110
524020324203200
61325123300500
7151135100436
oct31476264224
98778802220
103438897300
111505193493
127bb81a730
1342a5c4797
14248a14656
15151d8c800
hexccf96894

3438897300 has 54 divisors (see below), whose sum is σ = 10779035358. Its totient is φ = 917039040.

The previous prime is 3438897257. The next prime is 3438897307. The reversal of 3438897300 is 37988343.

It is a happy number.

3438897300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 403768836 + 3035128464 = 20094^2 + 55092^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438897307) 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, 1909599 + ... + 1911398.

Almost surely, 23438897300 is an apocalyptic number.

3438897300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3438897300 is an abundant number, since it is smaller than the sum of its proper divisors (7340138058).

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

3438897300 is a wasteful number, since it uses less digits than its factorization.

3438897300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821017 (or 3821007 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3438897300 is about 58642.1120015301. The cubic root of 3438897300 is about 1509.4071470591.

The spelling of 3438897300 in words is "three billion, four hundred thirty-eight million, eight hundred ninety-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 3820997 7641994 11462991 15283988 19104985 22925982 34388973 38209970 45851964 57314955 68777946 76419940 95524925 114629910 137555892 171944865 191049850 229259820 286574775 343889730 382099700 573149550 687779460 859724325 1146299100 1719448650 3438897300