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3040152000 = 263531959113
BaseRepresentation
bin1011010100110101…
…0000100111000000
321211212120201112020
42311031100213000
522211234331000
61221401001440
7135223602624
oct26515204700
97755521466
103040152000
1113200a5216
1270a183280
13395b02312
1420ba99184
1512bd75ba0
hexb53509c0

3040152000 has 448 divisors, whose sum is σ = 10841126400. Its totient is φ = 748339200.

The previous prime is 3040151969. The next prime is 3040152043. The reversal of 3040152000 is 2510403.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 26903944 + ... + 26904056.

Almost surely, 23040152000 is an apocalyptic number.

3040152000 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 3040152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420563200).

3040152000 is an abundant number, since it is smaller than the sum of its proper divisors (7800974400).

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

3040152000 is a wasteful number, since it uses less digits than its factorization.

3040152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3040152000 is about 55137.5733960065. The cubic root of 3040152000 is about 1448.6554321408.

Adding to 3040152000 its reverse (2510403), we get a palindrome (3042662403).

The spelling of 3040152000 in words is "three billion, forty million, one hundred fifty-two thousand".