Search a number
-
+
371408896 = 21422669
BaseRepresentation
bin10110001000110…
…100000000000000
3221212212112020001
4112020310000000
51230040041041
6100504325344
712126631525
oct2610640000
9855775201
10371408896
11180718001
12a4473854
135bc409a1
143748114c
1522917131
hex16234000

371408896 has 30 divisors (see below), whose sum is σ = 742827890. Its totient is φ = 185696256.

The previous prime is 371408893. The next prime is 371408897. The reversal of 371408896 is 698804173.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 368640000 + 2768896 = 19200^2 + 1664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (371408893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050 + ... + 27718.

Almost surely, 2371408896 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 371408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371413945).

371408896 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

371408896 is an frugal number, since it uses more digits than its factorization.

371408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22697 (or 22671 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 371408896 is about 19271.9717724990. The cubic root of 371408896 is about 718.8155009644.

The spelling of 371408896 in words is "three hundred seventy-one million, four hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 22669 45338 90676 181352 362704 725408 1450816 2901632 5803264 11606528 23213056 46426112 92852224 185704448 371408896