Search a number
-
+
1374952320 = 273657421
BaseRepresentation
bin101000111110100…
…0001101110000000
310112211012211000000
41101331001232000
510303441433240
6344234000000
746033621230
oct12175015600
93484184000
101374952320
11646141035
12324576000
1318bb1b971
14d0871cc0
1580a98430
hex51f41b80

1374952320 has 448 divisors, whose sum is σ = 5645651040. Its totient is φ = 313528320.

The previous prime is 1374952303. The next prime is 1374952349. The reversal of 1374952320 is 232594731.

1374952320 is a `hidden beast` number, since 137 + 495 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 3265710 + ... + 3266130.

Almost surely, 21374952320 is an apocalyptic number.

1374952320 is a gapful number since it is divisible by the number (10) 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 1374952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822825520).

1374952320 is an abundant number, since it is smaller than the sum of its proper divisors (4270698720).

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

1374952320 is an frugal number, since it uses more digits than its factorization.

1374952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1374952320 is about 37080.3495129159. The cubic root of 1374952320 is about 1111.9771918790.

The spelling of 1374952320 in words is "one billion, three hundred seventy-four million, nine hundred fifty-two thousand, three hundred twenty".