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3031000032 = 253229137873
BaseRepresentation
bin1011010010101001…
…0110001111100000
321211020100202101110
42310222112033200
522201414000112
61220432503320
7135053034534
oct26452261740
97736322343
103031000032
111315a14205
127070aab40
13393c49758
1420a795bc4
1512b16913c
hexb4a963e0

3031000032 has 48 divisors (see below), whose sum is σ = 7991177040. Its totient is φ = 1005914112.

The previous prime is 3031000009. The next prime is 3031000033. The reversal of 3031000032 is 2300001303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×30310000322 = 18373922387968002048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3030999981 and 3031000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031000033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46953 + ... + 90920.

It is an arithmetic number, because the mean of its divisors is an integer number (166482855).

Almost surely, 23031000032 is an apocalyptic number.

3031000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3031000032 is an abundant number, since it is smaller than the sum of its proper divisors (4960177008).

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

3031000032 is a wasteful number, since it uses less digits than its factorization.

3031000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138115 (or 138107 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3031000032 is about 55054.5187246242. The cubic root of 3031000032 is about 1447.2003103455.

Adding to 3031000032 its reverse (2300001303), we get a palindrome (5331001335).

The spelling of 3031000032 in words is "three billion, thirty-one million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2748 3664 5496 7328 10992 21984 137873 275746 413619 551492 827238 1102984 1654476 2205968 3308952 4411936 6617904 13235808 31572917 63145834 94718751 126291668 189437502 252583336 378875004 505166672 757750008 1010333344 1515500016 3031000032