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3214059328 = 26295573109
BaseRepresentation
bin1011111110010010…
…1010011101000000
322021222211010112101
42333210222131000
523040244344303
61250532240144
7142435024234
oct27744523500
98258733471
103214059328
1113aa286387
12758470054
133c2b51c6c
14226c085c4
1513c278d1d
hexbf92a740

3214059328 has 56 divisors (see below), whose sum is σ = 6611797800. Its totient is φ = 1548331008.

The previous prime is 3214059281. The next prime is 3214059379. The reversal of 3214059328 is 8239504123.

3214059328 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 4 ways, for example, as 529984 + 3213529344 = 728^2 + 56688^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032238 + ... + 1035346.

Almost surely, 23214059328 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 3214059328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305898900).

3214059328 is an abundant number, since it is smaller than the sum of its proper divisors (3397738472).

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

3214059328 is a wasteful number, since it uses less digits than its factorization.

3214059328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 3214059328 is about 56692.6743768540. The cubic root of 3214059328 is about 1475.7675718450.

The spelling of 3214059328 in words is "three billion, two hundred fourteen million, fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 557 928 1114 1856 2228 3109 4456 6218 8912 12436 16153 17824 24872 32306 35648 49744 64612 90161 99488 129224 180322 198976 258448 360644 516896 721288 1033792 1442576 1731713 2885152 3463426 5770304 6926852 13853704 27707408 50219677 55414816 100439354 110829632 200878708 401757416 803514832 1607029664 3214059328