Search a number
-
+
378655992 = 2333111322341
BaseRepresentation
bin10110100100011…
…101010011111000
3222101111201101000
4112210131103320
51233413442432
6101323525000
712245344221
oct2644352370
9871451330
10378655992
11184817940
12a6989760
13605aa500
143840a248
152339957c
hex1691d4f8

378655992 has 384 divisors, whose sum is σ = 1328140800. Its totient is φ = 98841600.

The previous prime is 378655973. The next prime is 378656029. The reversal of 378655992 is 299556873.

378655992 is a `hidden beast` number, since 3 + 7 + 86 + 559 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9235492 + ... + 9235532.

It is an arithmetic number, because the mean of its divisors is an integer number (3458700).

Almost surely, 2378655992 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 378655992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664070400).

378655992 is an abundant number, since it is smaller than the sum of its proper divisors (949484808).

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

378655992 is a wasteful number, since it uses less digits than its factorization.

378655992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 378655992 is about 19459.0850761283. The cubic root of 378655992 is about 723.4607005050.

The spelling of 378655992 in words is "three hundred seventy-eight million, six hundred fifty-five thousand, nine hundred ninety-two".