Search a number
-
+
378851264 = 26113591499
BaseRepresentation
bin10110100101001…
…100111111000000
3222101212122020022
4112211030333000
51233441220024
6101332033012
712250116431
oct2645147700
9871778208
10378851264
11184940620
12a6a62768
136064835c
143845b488
15233d735e
hex1694cfc0

378851264 has 56 divisors (see below), whose sum is σ = 822960000. Its totient is φ = 171610880.

The previous prime is 378851257. The next prime is 378851267. The reversal of 378851264 is 462158873.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378851267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251987 + ... + 253485.

Almost surely, 2378851264 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 378851264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411480000).

378851264 is an abundant number, since it is smaller than the sum of its proper divisors (444108736).

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

378851264 is a wasteful number, since it uses less digits than its factorization.

378851264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1871 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 378851264 is about 19464.1019315046. The cubic root of 378851264 is about 723.5850414578.

The spelling of 378851264 in words is "three hundred seventy-eight million, eight hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 359 704 718 1436 1499 2872 2998 3949 5744 5996 7898 11488 11992 15796 16489 22976 23984 31592 32978 47968 63184 65956 95936 126368 131912 252736 263824 527648 538141 1055296 1076282 2152564 4305128 5919551 8610256 11839102 17220512 23678204 34441024 47356408 94712816 189425632 378851264