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30431034 = 2322997601
BaseRepresentation
bin111010000010…
…1011100111010
32010021001112100
41310011130322
530242243114
63004124230
7516442134
oct164053472
963231470
1030431034
11161a5317
12a236676
1363c623a
144082054
152a11909
hex1d0573a

30431034 has 48 divisors (see below), whose sum is σ = 69025320. Its totient is φ = 9676800.

The previous prime is 30431021. The next prime is 30431059. The reversal of 30431034 is 43013403.

It can be written as a sum of positive squares in 4 ways, for example, as 28998225 + 1432809 = 5385^2 + 1197^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30430998 and 30431016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50334 + ... + 50934.

Almost surely, 230431034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30431034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34512660).

30431034 is an abundant number, since it is smaller than the sum of its proper divisors (38594286).

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

30431034 is a wasteful number, since it uses less digits than its factorization.

30431034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30431034 is about 5516.4330866965. The cubic root of 30431034 is about 312.2043163694.

Adding to 30431034 its reverse (43013403), we get a palindrome (73444437).

The spelling of 30431034 in words is "thirty million, four hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 97 174 194 261 291 522 582 601 873 1202 1746 1803 2813 3606 5409 5626 8439 10818 16878 17429 25317 34858 50634 52287 58297 104574 116594 156861 174891 313722 349782 524673 1049346 1690613 3381226 5071839 10143678 15215517 30431034