Search a number
-
+
380919630 = 235721331643
BaseRepresentation
bin10110101101000…
…101111101001110
3222112202201111110
4112231011331032
51240003412010
6101444232450
712303522600
oct2655057516
9875681443
10380919630
11186023613
12a769b726
1360bc0940
1438839170
1523695120
hex16b45f4e

380919630 has 192 divisors, whose sum is σ = 1184053248. Its totient is φ = 77656320.

The previous prime is 380919587. The next prime is 380919641. The reversal of 380919630 is 36919083.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 592089 + ... + 592731.

It is an arithmetic number, because the mean of its divisors is an integer number (6166944).

Almost surely, 2380919630 is an apocalyptic number.

380919630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380919630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592026624).

380919630 is an abundant number, since it is smaller than the sum of its proper divisors (803133618).

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

380919630 is a wasteful number, since it uses less digits than its factorization.

380919630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 380919630 is about 19517.1624474461. The cubic root of 380919630 is about 724.8994739733.

The spelling of 380919630 in words is "three hundred eighty million, nine hundred nineteen thousand, six hundred thirty".