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378942480 = 243257223467
BaseRepresentation
bin10110100101100…
…011010000010000
3222102001021100200
4112211203100100
51234002124410
6101334015200
712250646400
oct2645432020
9872037320
10378942480
111849a3104
12a6aa7500
136067aa27
1438482800
15234043c0
hex16963410

378942480 has 360 divisors, whose sum is σ = 1548061632. Its totient is φ = 82672128.

The previous prime is 378942469. The next prime is 378942491. The reversal of 378942480 is 84249873.

It is an interprime number because it is at equal distance from previous prime (378942469) and next prime (378942491).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 811207 + ... + 811673.

Almost surely, 2378942480 is an apocalyptic number.

378942480 is a gapful number since it is divisible by the number (30) 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 378942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774030816).

378942480 is an abundant number, since it is smaller than the sum of its proper divisors (1169119152).

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

378942480 is a wasteful number, since it uses less digits than its factorization.

378942480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 378942480 is about 19466.4449759066. Note that the first 3 decimals coincide. The cubic root of 378942480 is about 723.6431093092.

The spelling of 378942480 in words is "three hundred seventy-eight million, nine hundred forty-two thousand, four hundred eighty".