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378331812 = 2232312631289
BaseRepresentation
bin10110100011001…
…110001010100100
3222100220020200100
4112203032022210
51233323104222
6101312544100
712242524125
oct2643161244
9870806610
10378331812
11184616321
12a6852030
13604c5aa1
143836404c
15233334ac
hex168ce2a4

378331812 has 72 divisors (see below), whose sum is σ = 991710720. Its totient is φ = 121484160.

The previous prime is 378331801. The next prime is 378331813. The reversal of 378331812 is 218133873.

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (378331813) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 292864 + ... + 294152.

It is an arithmetic number, because the mean of its divisors is an integer number (13773760).

Almost surely, 2378331812 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 378331812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495855360).

378331812 is an abundant number, since it is smaller than the sum of its proper divisors (613378908).

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

378331812 is a wasteful number, since it uses less digits than its factorization.

378331812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1588 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 378331812 is about 19450.7535072552. The cubic root of 378331812 is about 723.2541819616.

The spelling of 378331812 in words is "three hundred seventy-eight million, three hundred thirty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 263 279 372 526 558 789 1052 1116 1289 1578 2367 2578 3156 3867 4734 5156 7734 8153 9468 11601 15468 16306 23202 24459 32612 39959 46404 48918 73377 79918 97836 119877 146754 159836 239754 293508 339007 359631 479508 678014 719262 1017021 1356028 1438524 2034042 3051063 4068084 6102126 10509217 12204252 21018434 31527651 42036868 63055302 94582953 126110604 189165906 378331812