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423910368 = 253372171931
BaseRepresentation
bin11001010001000…
…101101111100000
31002112122212201000
4121101011233200
51332010112433
6110021512000
713335115200
oct3121055740
91075585630
10423910368
111a8317152
12b9b72600
1369a9384b
144042a400
1527338113
hex19445be0

423910368 has 576 divisors, whose sum is σ = 1654732800. Its totient is φ = 104509440.

The previous prime is 423910327. The next prime is 423910381. The reversal of 423910368 is 863019324.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 13674513 + ... + 13674543.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2423910368 is an apocalyptic number.

423910368 is a gapful number since it is divisible by the number (48) 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 423910368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

423910368 is an abundant number, since it is smaller than the sum of its proper divisors (1230822432).

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

423910368 is a wasteful number, since it uses less digits than its factorization.

423910368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 423910368 is about 20589.0837095778. The cubic root of 423910368 is about 751.2042094713.

The spelling of 423910368 in words is "four hundred twenty-three million, nine hundred ten thousand, three hundred sixty-eight".