Search a number
-
+
380190277440 = 26325719531951
BaseRepresentation
bin1011000100001010001…
…10110011111101000000
31100100100010002012022200
411202011012303331000
522212112202334230
6450353525033200
736316320015561
oct5420506637500
91310303065280
10380190277440
11137268555666
1261824b55800
1329b0c4c550c
141458928c168
159d52716160
hex58851b3f40

380190277440 has 336 divisors, whose sum is σ = 1328186336256. Its totient is φ = 99800064000.

The previous prime is 380190277361. The next prime is 380190277447. The reversal of 380190277440 is 44772091083.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380190277447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194868465 + ... + 194870415.

Almost surely, 2380190277440 is an apocalyptic number.

380190277440 is a gapful number since it is divisible by the number (30) 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 380190277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664093168128).

380190277440 is an abundant number, since it is smaller than the sum of its proper divisors (947996058816).

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

380190277440 is a wasteful number, since it uses less digits than its factorization.

380190277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 380190277440 in words is "three hundred eighty billion, one hundred ninety million, two hundred seventy-seven thousand, four hundred forty".