Search a number
-
+
3229930431 = 337134132063
BaseRepresentation
bin1100000010000100…
…1101001110111111
322100002200110121000
43000201031032333
523103330233211
61252300341343
7143016645540
oct30041151677
98302613530
103229930431
1114082365a2
12761844853
133c621ac50
14228d7a4c7
1513d861656
hexc084d3bf

3229930431 has 64 divisors (see below), whose sum is σ = 6033162240. Its totient is φ = 1662094080.

The previous prime is 3229930391. The next prime is 3229930433. The reversal of 3229930431 is 1340399223.

3229930431 is a `hidden beast` number, since 32 + 299 + 304 + 31 = 666.

3229930431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3229930431 - 29 = 3229929919 is a prime.

It is a super-2 number, since 2×32299304312 = 20864901178199691522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3229930433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84706 + ... + 116768.

It is an arithmetic number, because the mean of its divisors is an integer number (94268160).

Almost surely, 23229930431 is an apocalyptic number.

3229930431 is a deficient number, since it is larger than the sum of its proper divisors (2803231809).

3229930431 is a wasteful number, since it uses less digits than its factorization.

3229930431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32133 (or 32127 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3229930431 is about 56832.4769036156. The cubic root of 3229930431 is about 1478.1927097852.

The spelling of 3229930431 in words is "three billion, two hundred twenty-nine million, nine hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 41 63 91 117 123 189 273 287 351 369 533 819 861 1107 1599 2457 2583 3731 4797 7749 11193 14391 32063 33579 96189 100737 224441 288567 416819 673323 865701 1250457 1314583 2019969 2917733 3751371 3943749 6059907 8753199 9202081 11254113 11831247 17089579 26259597 27606243 35493741 51268737 78778791 82818729 119627053 153806211 248456187 358881159 461418633 1076643477 3229930431