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431432704 = 2103113591
BaseRepresentation
bin11001101101110…
…010010000000000
31010001211001102001
4121231302100000
51340421321304
6110451033344
713456055203
oct3155622000
91101731361
10431432704
1120159485a
1210059b854
136b4c8731
144142793a
1527d21da4
hex19b72400

431432704 has 44 divisors (see below), whose sum is σ = 890330368. Its totient is φ = 208742400.

The previous prime is 431432699. The next prime is 431432723. The reversal of 431432704 is 407234134.

It is a super-2 number, since 2×4314327042 = 372268356161503232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24949 + ... + 38539.

Almost surely, 2431432704 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 431432704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445165184).

431432704 is an abundant number, since it is smaller than the sum of its proper divisors (458897664).

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

431432704 is a wasteful number, since it uses less digits than its factorization.

431432704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13642 (or 13624 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 431432704 is about 20770.9581868531. The cubic root of 431432704 is about 755.6215830545.

Adding to 431432704 its reverse (407234134), we get a palindrome (838666838).

The spelling of 431432704 in words is "four hundred thirty-one million, four hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 3968 7936 13591 15872 27182 31744 54364 108728 217456 421321 434912 842642 869824 1685284 1739648 3370568 3479296 6741136 6958592 13482272 13917184 26964544 53929088 107858176 215716352 431432704