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423179640 = 233551317197
BaseRepresentation
bin11001001110010…
…011010101111000
31002111021202100000
4121032103111320
51331313222030
6105554113000
713325652612
oct3116232570
91074252300
10423179640
111a7968144
12b987b760
1369899070
14402b9db2
1527241860
hex19393578

423179640 has 384 divisors, whose sum is σ = 1634592960. Its totient is φ = 97542144.

The previous prime is 423179633. The next prime is 423179663. The reversal of 423179640 is 46971324.

423179640 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 7 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 423179595 and 423179604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2148022 + ... + 2148218.

Almost surely, 2423179640 is an apocalyptic number.

423179640 is a gapful number since it is divisible by the number (40) 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 423179640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817296480).

423179640 is an abundant number, since it is smaller than the sum of its proper divisors (1211413320).

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

423179640 is a wasteful number, since it uses less digits than its factorization.

423179640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 423179640 is about 20571.3305354807. The cubic root of 423179640 is about 750.7723244137.

The spelling of 423179640 in words is "four hundred twenty-three million, one hundred seventy-nine thousand, six hundred forty".