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996342480 = 243257231911
BaseRepresentation
bin111011011000101…
…111101011010000
32120102210102221100
4323120233223100
54020030424410
6242511024400
733455525400
oct7330575320
92512712840
10996342480
11471455941
1223980b100
1312b559483
1496478800
155c70c8c0
hex3b62fad0

996342480 has 360 divisors, whose sum is σ = 4022313984. Its totient is φ = 220147200.

The previous prime is 996342469. The next prime is 996342521. The reversal of 996342480 is 84243699.

996342480 is a `hidden beast` number, since 9 + 9 + 634 + 2 + 4 + 8 + 0 = 666.

996342480 is a nontrivial binomial coefficient, being equal to C(44640, 2).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1093225 + ... + 1094135.

Almost surely, 2996342480 is an apocalyptic number.

996342480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

996342480 is the 44639-th triangular number and also the 22320-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011156992).

996342480 is an abundant number, since it is smaller than the sum of its proper divisors (3025971504).

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

996342480 is a wasteful number, since it uses less digits than its factorization.

996342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 996342480 is about 31564.8931567968. The cubic root of 996342480 is about 998.7793372554.

The spelling of 996342480 in words is "nine hundred ninety-six million, three hundred forty-two thousand, four hundred eighty".