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3214314304 = 26172954333
BaseRepresentation
bin1011111110010110…
…1000101101000000
322022000022002021221
42333211220231000
523040331024204
61250541524424
7142440135505
oct27745505500
98260262257
103214314304
1113aa43aa03
12758573714
133c2c11036
14226c734ac
1513c2c9654
hexbf968b40

3214314304 has 28 divisors (see below), whose sum is σ = 6753607524. Its totient is φ = 1512617984.

The previous prime is 3214314281. The next prime is 3214314307. The reversal of 3214314304 is 4034134123.

3214314304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2975920704 + 238393600 = 54552^2 + 15440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214314307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1476079 + ... + 1478254.

Almost surely, 23214314304 is an apocalyptic number.

3214314304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3214314304 is an abundant number, since it is smaller than the sum of its proper divisors (3539293220).

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

3214314304 is a wasteful number, since it uses less digits than its factorization.

3214314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954362 (or 2954352 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3214314304 is about 56694.9230884036. The cubic root of 3214314304 is about 1475.8065957422.

Adding to 3214314304 its reverse (4034134123), we get a palindrome (7248448427).

The spelling of 3214314304 in words is "three billion, two hundred fourteen million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 2954333 5908666 11817332 23634664 47269328 50223661 94538656 100447322 189077312 200894644 401789288 803578576 1607157152 3214314304