Search a number
-
+
380297680 = 24574714449
BaseRepresentation
bin10110101010101…
…110000111010000
3222111121010100021
4112222232013100
51234324011210
6101423033224
712265322410
oct2652560720
9874533307
10380297680
11185739304
12a743b814
1360a33819
1438716640
15235c0bda
hex16aae1d0

380297680 has 80 divisors (see below), whose sum is σ = 1032076800. Its totient is φ = 127604736.

The previous prime is 380297653. The next prime is 380297683. The reversal of 380297680 is 86792083.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380297683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19096 + ... + 33544.

It is an arithmetic number, because the mean of its divisors is an integer number (12900960).

Almost surely, 2380297680 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 380297680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516038400).

380297680 is an abundant number, since it is smaller than the sum of its proper divisors (651779120).

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

380297680 is a wasteful number, since it uses less digits than its factorization.

380297680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14516 (or 14510 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 380297680 is about 19501.2225257803. Note that the first 3 decimals coincide. The cubic root of 380297680 is about 724.5047303123.

The spelling of 380297680 in words is "three hundred eighty million, two hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1316 1645 1880 2632 3290 3760 5264 6580 13160 14449 26320 28898 57796 72245 101143 115592 144490 202286 231184 288980 404572 505715 577960 679103 809144 1011430 1155920 1358206 1618288 2022860 2716412 3395515 4045720 4753721 5432824 6791030 8091440 9507442 10865648 13582060 19014884 23768605 27164120 38029768 47537210 54328240 76059536 95074420 190148840 380297680