Search a number
-
+
378391384 = 237193491019
BaseRepresentation
bin10110100011011…
…100101101011000
3222101000021101201
4112203130231120
51233332011014
6101314123544
712243162610
oct2643345530
9871007351
10378391384
11184657058
12a68805b4
1360516c37
143837ba40
1523345e74
hex168dcb58

378391384 has 64 divisors (see below), whose sum is σ = 856800000. Its totient is φ = 153042048.

The previous prime is 378391373. The next prime is 378391393. The reversal of 378391384 is 483193873.

It is a happy number.

It is a super-3 number, since 3×3783913843 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370827 + ... + 371845.

It is an arithmetic number, because the mean of its divisors is an integer number (13387500).

Almost surely, 2378391384 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 378391384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428400000).

378391384 is an abundant number, since it is smaller than the sum of its proper divisors (478408616).

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

378391384 is a wasteful number, since it uses less digits than its factorization.

378391384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1396 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 378391384 is about 19452.2848015342. The cubic root of 378391384 is about 723.2921410895.

The spelling of 378391384 in words is "three hundred seventy-eight million, three hundred ninety-one thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 349 532 698 1019 1064 1396 2038 2443 2792 4076 4886 6631 7133 8152 9772 13262 14266 19361 19544 26524 28532 38722 46417 53048 57064 77444 92834 135527 154888 185668 271054 355631 371336 542108 711262 1084216 1422524 2489417 2845048 4978834 6756989 9957668 13513978 19915336 27027956 47298923 54055912 94597846 189195692 378391384