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378063504 = 243371359163
BaseRepresentation
bin10110100010001…
…100101010010000
3222100101121122000
4112202030222100
51233241013004
6101303114000
712240325650
oct2642145220
9870347560
10378063504
11184452785
12a6742900
1360430920
14382d4360
15232cdc39
hex1688ca90

378063504 has 320 divisors, whose sum is σ = 1366579200. Its totient is φ = 97417728.

The previous prime is 378063487. The next prime is 378063509. The reversal of 378063504 is 405360873.

It is a happy number.

378063504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378063509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2319327 + ... + 2319489.

It is an arithmetic number, because the mean of its divisors is an integer number (4270560).

Almost surely, 2378063504 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 378063504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683289600).

378063504 is an abundant number, since it is smaller than the sum of its proper divisors (988515696).

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

378063504 is a wasteful number, since it uses less digits than its factorization.

378063504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 378063504 is about 19443.8551732932. The cubic root of 378063504 is about 723.0831673754.

The spelling of 378063504 in words is "three hundred seventy-eight million, sixty-three thousand, five hundred four".