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378341376 = 2113719463
BaseRepresentation
bin10110100011010…
…000100000000000
3222100220201210120
4112203100200000
51233323411001
6101313100240
712242564040
oct2643204000
9870821716
10378341376
11184622526
12a6857680
13604ca24a
1438367720
1523336236
hex168d0800

378341376 has 192 divisors, whose sum is σ = 1216051200. Its totient is φ = 102187008.

The previous prime is 378341371. The next prime is 378341377. The reversal of 378341376 is 673143873.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (378341371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816921 + ... + 817383.

It is an arithmetic number, because the mean of its divisors is an integer number (6333600).

Almost surely, 2378341376 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 378341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608025600).

378341376 is an abundant number, since it is smaller than the sum of its proper divisors (837709824).

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

378341376 is a wasteful number, since it uses less digits than its factorization.

378341376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 494 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 378341376 is about 19450.9993573595. Note that the first 3 decimals coincide. The cubic root of 378341376 is about 723.2602763867.

The spelling of 378341376 in words is "three hundred seventy-eight million, three hundred forty-one thousand, three hundred seventy-six".