Search a number
-
+
341378304 = 2833371319
BaseRepresentation
bin10100010110010…
…000010100000000
3212210100210222220
4110112100110000
51144343101204
653512531040
711313445011
oct2426202400
9783323886
10341378304
11165776633
12963b0a80
1355957ac7
14334a5008
151ee841d9
hex14590500

341378304 has 72 divisors (see below), whose sum is σ = 911951040. Its totient is φ = 113369088.

The previous prime is 341378267. The next prime is 341378327. The reversal of 341378304 is 403873143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258157 + ... + 259475.

Almost surely, 2341378304 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 341378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455975520).

341378304 is an abundant number, since it is smaller than the sum of its proper divisors (570572736).

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

341378304 is a wasteful number, since it uses less digits than its factorization.

341378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 341378304 is about 18476.4256283514. The cubic root of 341378304 is about 698.8950622349.

The spelling of 341378304 in words is "three hundred forty-one million, three hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 337 384 674 768 1011 1319 1348 2022 2638 2696 3957 4044 5276 5392 7914 8088 10552 10784 15828 16176 21104 21568 31656 32352 42208 43136 63312 64704 84416 86272 126624 129408 168832 253248 258816 337664 444503 506496 889006 1012992 1333509 1778012 2667018 3556024 5334036 7112048 10668072 14224096 21336144 28448192 42672288 56896384 85344576 113792768 170689152 341378304