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378366912 = 263271119449
BaseRepresentation
bin10110100011010…
…110101111000000
3222100222000211100
4112203112233000
51233330220122
6101313414400
712243031350
oct2643265700
9870860740
10378366912
1118463a730
12a686a400
1360508a61
1438372b60
152333daac
hex168d6bc0

378366912 has 336 divisors, whose sum is σ = 1426464000. Its totient is φ = 92897280.

The previous prime is 378366899. The next prime is 378366949. The reversal of 378366912 is 219663873.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (326592) is a multiple of the sum of its prime factors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842464 + ... + 842912.

Almost surely, 2378366912 is an apocalyptic number.

378366912 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 378366912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713232000).

378366912 is an abundant number, since it is smaller than the sum of its proper divisors (1048097088).

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

378366912 is a wasteful number, since it uses less digits than its factorization.

378366912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 491 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 378366912 is about 19451.6557649985. The cubic root of 378366912 is about 723.2765480751.

The spelling of 378366912 in words is "three hundred seventy-eight million, three hundred sixty-six thousand, nine hundred twelve".