Search a number
-
+
380634387276 = 223111319531671319
BaseRepresentation
bin1011000100111111001…
…00111101001101001100
31100101111001202022111010
411202133210331031030
522214014400343101
6450505551525220
736333321623463
oct5423744751514
91311431668433
10380634387276
11137476208990
1261929829810
1329b8050c1c0
14145cc2559da
159d7b6de2d6
hex589f93d34c

380634387276 has 384 divisors, whose sum is σ = 1126611763200. Its totient is φ = 98297072640.

The previous prime is 380634387253. The next prime is 380634387277. The reversal of 380634387276 is 672783436083.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (380634387277) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288577345 + ... + 288578663.

It is an arithmetic number, because the mean of its divisors is an integer number (2933884800).

Almost surely, 2380634387276 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 380634387276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563305881600).

380634387276 is an abundant number, since it is smaller than the sum of its proper divisors (745977375924).

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

380634387276 is a wasteful number, since it uses less digits than its factorization.

380634387276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 380634387276 in words is "three hundred eighty billion, six hundred thirty-four million, three hundred eighty-seven thousand, two hundred seventy-six".