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3152412000 = 253353172101
BaseRepresentation
bin1011101111100101…
…1111110101100000
322010200211010022000
42323321133311200
522424004141000
61240451044000
7141056026353
oct27371376540
98120733260
103152412000
1113784aa881
1273b8a0600
133b314925a
1421c95c29a
15136b4d000
hexbbe5fd60

3152412000 has 576 divisors, whose sum is σ = 12310159680. Its totient is φ = 783360000.

The previous prime is 3152411989. The next prime is 3152412007. The reversal of 3152412000 is 2142513.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3152412007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31211950 + ... + 31212050.

It is an arithmetic number, because the mean of its divisors is an integer number (21371805).

Almost surely, 23152412000 is an apocalyptic number.

3152412000 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 3152412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155079840).

3152412000 is an abundant number, since it is smaller than the sum of its proper divisors (9157747680).

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

3152412000 is a wasteful number, since it uses less digits than its factorization.

3152412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3152412000 is about 56146.3444936534. The cubic root of 3152412000 is about 1466.2712662322.

Adding to 3152412000 its reverse (2142513), we get a palindrome (3154554513).

The spelling of 3152412000 in words is "three billion, one hundred fifty-two million, four hundred twelve thousand".