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378058752 = 211344353
BaseRepresentation
bin10110100010001…
…011100000000000
3222100101101010000
4112202023200000
51233240340002
6101303040000
712240306051
oct2642134000
9870341100
10378058752
1118444a155
12a6740000
136042b706
14382d2728
15232cc61c
hex1688b800

378058752 has 240 divisors, whose sum is σ = 1177296120. Its totient is φ = 120766464.

The previous prime is 378058721. The next prime is 378058757. The reversal of 378058752 is 257850873.

It is a junction number, because it is equal to n+sod(n) for n = 378058698 and 378058707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378058757) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7133158 + ... + 7133210.

Almost surely, 2378058752 is an apocalyptic number.

378058752 is a gapful number since it is divisible by the number (32) 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 378058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588648060).

378058752 is an abundant number, since it is smaller than the sum of its proper divisors (799237368).

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

378058752 is an equidigital number, since it uses as much as digits as its factorization.

378058752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 378058752 is about 19443.7329749202. The cubic root of 378058752 is about 723.0801378088.

The spelling of 378058752 in words is "three hundred seventy-eight million, fifty-eight thousand, seven hundred fifty-two".