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3430132991 = 23472181373
BaseRepresentation
bin1100110001110011…
…1010110011111111
322212001101210212122
43030130322303333
524011103223431
61324211353155
7151000435505
oct31434726377
98761353778
103430132991
11150024775a
127b88b27bb
134288464bc
142477b2675
1515120aa7b
hexcc73acff

3430132991 has 24 divisors (see below), whose sum is σ = 3687107424. Its totient is φ = 3184885440.

The previous prime is 3430132987. The next prime is 3430133009. The reversal of 3430132991 is 1992310343.

It is not a de Polignac number, because 3430132991 - 22 = 3430132987 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430132921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9195881 + ... + 9196253.

It is an arithmetic number, because the mean of its divisors is an integer number (153629476).

Almost surely, 23430132991 is an apocalyptic number.

3430132991 is a deficient number, since it is larger than the sum of its proper divisors (256974433).

3430132991 is a wasteful number, since it uses less digits than its factorization.

3430132991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 3430132991 is about 58567.3372367227. The cubic root of 3430132991 is about 1508.1237739557.

The spelling of 3430132991 in words is "three billion, four hundred thirty million, one hundred thirty-two thousand, nine hundred ninety-one".

Divisors: 1 23 47 181 373 1081 2209 4163 8507 8579 17531 50807 67513 195661 399829 403213 823957 1552799 3173111 9196067 18951011 72981553 149136217 3430132991