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3026903040 = 21333571723
BaseRepresentation
bin1011010001101010…
…1110000000000000
321210221122121101000
42310122232000000
522144341344130
61220205012000
7135003152130
oct26432560000
97727577330
103026903040
111313676067
12705854000
133931439b5
1420a00aac0
1512ab0a260
hexb46ae000

3026903040 has 896 divisors, whose sum is σ = 13588715520. Its totient is φ = 622854144.

The previous prime is 3026902979. The next prime is 3026903051. The reversal of 3026903040 is 403096203.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×30269030402 = 18324284027122483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3026902995 and 3026903013.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 131604469 + ... + 131604491.

Almost surely, 23026903040 is an apocalyptic number.

3026903040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3026903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794357760).

3026903040 is an abundant number, since it is smaller than the sum of its proper divisors (10561812480).

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

3026903040 is a wasteful number, since it uses less digits than its factorization.

3026903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3026903040 is about 55017.2976435593. The cubic root of 3026903040 is about 1446.5479578196.

Adding to 3026903040 its reverse (403096203), we get a palindrome (3429999243).

The spelling of 3026903040 in words is "three billion, twenty-six million, nine hundred three thousand, forty".