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3214004431 = 11294724561
BaseRepresentation
bin1011111110010001…
…1101000011001111
322021222201100020011
42333210131003033
523040241120211
61250531134051
7142434405211
oct27744350317
98258640204
103214004431
1113aa249110
12758444327
133c2b32c91
14226bd25b1
1513c267921
hexbf91d0cf

3214004431 has 24 divisors (see below), whose sum is σ = 3706716240. Its totient is φ = 2760441600.

The previous prime is 3214004407. The next prime is 3214004441. The reversal of 3214004431 is 1344004123.

It is not a de Polignac number, because 3214004431 - 27 = 3214004303 is a prime.

It is a super-2 number, since 2×32140044312 = 20659648964975267522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214004441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702391 + ... + 706951.

It is an arithmetic number, because the mean of its divisors is an integer number (154446510).

Almost surely, 23214004431 is an apocalyptic number.

3214004431 is a deficient number, since it is larger than the sum of its proper divisors (492711809).

3214004431 is a wasteful number, since it uses less digits than its factorization.

3214004431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3214004431 is about 56692.1902117038. The cubic root of 3214004431 is about 1475.7591696278.

Adding to 3214004431 its reverse (1344004123), we get a palindrome (4558008554).

The spelling of 3214004431 in words is "three billion, two hundred fourteen million, four thousand, four hundred thirty-one".

Divisors: 1 11 29 47 319 517 1363 2209 4561 14993 24299 50171 64061 132269 214367 704671 1454959 2358037 6216643 10075249 68383073 110827739 292182221 3214004431