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3969830307 = 33722513851
BaseRepresentation
bin1110110010011110…
…1100110110100011
3101020122221021102010
43230213230312203
531112234032212
61453531124003
7200243000202
oct35447546643
911218837363
103969830307
1117579582a3
129295a3603
134b35ba421
1429933d239
151837b603c
hexec9ecda3

3969830307 has 24 divisors (see below), whose sum is σ = 5463122112. Its totient is φ = 2564100000.

The previous prime is 3969830299. The next prime is 3969830321. The reversal of 3969830307 is 7030389693.

It is a happy number.

3969830307 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3969830307 - 23 = 3969830299 is a prime.

It is a super-3 number, since 3×39698303073 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3969830377) 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, 1028932 + ... + 1032782.

It is an arithmetic number, because the mean of its divisors is an integer number (227630088).

Almost surely, 23969830307 is an apocalyptic number.

3969830307 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3969830307 is a deficient number, since it is larger than the sum of its proper divisors (1493291805).

3969830307 is a wasteful number, since it uses less digits than its factorization.

3969830307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The square root of 3969830307 is about 63006.5893934912. The cubic root of 3969830307 is about 1583.4000256992.

The spelling of 3969830307 in words is "three billion, nine hundred sixty-nine million, eight hundred thirty thousand, three hundred seven".

Divisors: 1 3 37 111 251 753 1369 3851 4107 9287 11553 27861 142487 343619 427461 966601 1030857 2899803 5272019 15816057 35764237 107292711 1323276769 3969830307