Search a number
-
+
381211296 = 25337107323
BaseRepresentation
bin10110101110001…
…101001010100000
3222120022112120220
4112232031022200
51240042230141
6101454403040
712306146124
oct2656151240
9876275526
10381211296
11186202764
12a7800480
1360c9361b
14388b3584
1523701766
hex16b8d2a0

381211296 has 48 divisors (see below), whose sum is σ = 1027734624. Its totient is φ = 123634944.

The previous prime is 381211289. The next prime is 381211321. The reversal of 381211296 is 692112183.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50110 + ... + 57213.

It is an arithmetic number, because the mean of its divisors is an integer number (21411138).

Almost surely, 2381211296 is an apocalyptic number.

It is an amenable number.

381211296 is an abundant number, since it is smaller than the sum of its proper divisors (646523328).

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

381211296 is a wasteful number, since it uses less digits than its factorization.

381211296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107373 (or 107365 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 381211296 is about 19524.6330567312. The cubic root of 381211296 is about 725.0844426416.

The spelling of 381211296 in words is "three hundred eighty-one million, two hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 107323 214646 321969 429292 643938 858584 1287876 1717168 2575752 3434336 3970951 5151504 7941902 10303008 11912853 15883804 23825706 31767608 47651412 63535216 95302824 127070432 190605648 381211296