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420023352 = 233717241211
BaseRepresentation
bin11001000010010…
…000110000111000
31002021100101201110
4121002100300320
51330011221402
6105402320320
713260065610
oct3102206070
91067311643
10420023352
111a6101841
12b87b90a0
1369032538
143dad7a40
1526d1b56c
hex19090c38

420023352 has 192 divisors, whose sum is σ = 1312093440. Its totient is φ = 109670400.

The previous prime is 420023341. The next prime is 420023449. The reversal of 420023352 is 253320024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1990527 + ... + 1990737.

It is an arithmetic number, because the mean of its divisors is an integer number (6833820).

Almost surely, 2420023352 is an apocalyptic number.

420023352 is a gapful number since it is divisible by the number (42) 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 420023352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656046720).

420023352 is an abundant number, since it is smaller than the sum of its proper divisors (892070088).

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

420023352 is a wasteful number, since it uses less digits than its factorization.

420023352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 420023352 is about 20494.4712544628. The cubic root of 420023352 is about 748.9011178415.

Adding to 420023352 its reverse (253320024), we get a palindrome (673343376).

It can be divided in two parts, 42002 and 3352, that added together give a palindrome (45354).

The spelling of 420023352 in words is "four hundred twenty million, twenty-three thousand, three hundred fifty-two".