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963434472 = 23372111317337
BaseRepresentation
bin111001011011001…
…101011111101000
32111010212112122020
4321123031133220
53433114400342
6235333424440
732606025600
oct7133153750
92433775566
10963434472
11454919640
1222a79b120
131247a6990
1491d4dc00
15598ac0ec
hex396cd7e8

963434472 has 384 divisors, whose sum is σ = 3495623040. Its totient is φ = 216760320.

The previous prime is 963434471. The next prime is 963434551. The reversal of 963434472 is 274434369.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (963434471) 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, 2858688 + ... + 2859024.

It is an arithmetic number, because the mean of its divisors is an integer number (9103185).

Almost surely, 2963434472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963434472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747811520).

963434472 is an abundant number, since it is smaller than the sum of its proper divisors (2532188568).

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

963434472 is a wasteful number, since it uses less digits than its factorization.

963434472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 963434472 is about 31039.2408412319. The cubic root of 963434472 is about 987.6598374397.

The spelling of 963434472 in words is "nine hundred sixty-three million, four hundred thirty-four thousand, four hundred seventy-two".