Search a number
-
+
380276674560 = 212345229237
BaseRepresentation
bin1011000100010100100…
…00011001000000000000
31100100120010122121220000
411202022100121000000
522212301312041220
6450410252520000
736321416254326
oct5421220310000
91310503577800
10380276674560
111373022a6042
1261849a80000
1329b24385583
141459693bd16
159d5a0d0390
hex588a419000

380276674560 has 260 divisors, whose sum is σ = 1363201820508. Its totient is φ = 101406670848.

The previous prime is 380276674553. The next prime is 380276674639. The reversal of 380276674560 is 65476672083.

380276674560 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 7 + 6 + 6 + 74 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 243104219136 + 137172455424 = 493056^2 + 370368^2 .

It is a super-2 number, since 2×3802766745602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 380276674497 and 380276674506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1544262 + ... + 1773498.

Almost surely, 2380276674560 is an apocalyptic number.

380276674560 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 380276674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681600910254).

380276674560 is an abundant number, since it is smaller than the sum of its proper divisors (982925145948).

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

380276674560 is an equidigital number, since it uses as much as digits as its factorization.

380276674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229278 (or 229247 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 380276674560 in words is "three hundred eighty billion, two hundred seventy-six million, six hundred seventy-four thousand, five hundred sixty".