Search a number
-
+
1090340352 = 293461431
BaseRepresentation
bin100000011111101…
…0100011000000000
32210222200000210000
41000333110120000
54213111342402
6300105440000
736006511563
oct10077243000
92728600700
101090340352
1150a517932
122651a0000
13144b7b00a
14a4b464da
1565ac8c1c
hex40fd4600

1090340352 has 200 divisors, whose sum is σ = 3315403872. Its totient is φ = 356659200.

The previous prime is 1090340333. The next prime is 1090340353. The reversal of 1090340352 is 2530430901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090340353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2529577 + ... + 2530007.

Almost surely, 21090340352 is an apocalyptic number.

1090340352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657701936).

1090340352 is an abundant number, since it is smaller than the sum of its proper divisors (2225063520).

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

1090340352 is an frugal number, since it uses more digits than its factorization.

1090340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1090340352 is about 33020.3021185452. The cubic root of 1090340352 is about 1029.2495718455.

The spelling of 1090340352 in words is "one billion, ninety million, three hundred forty thousand, three hundred fifty-two".