Search a number
-
+
307129344 = 2103175881
BaseRepresentation
bin10010010011100…
…110110000000000
3210101220210020220
4102103212300000
51112111114334
650250503040
710416361554
oct2223466000
9711823226
10307129344
11148403905
1286a34a80
134b825b52
142cb0b864
151be6b449
hex124e6c00

307129344 has 88 divisors (see below), whose sum is σ = 866912688. Its totient is φ = 96337920.

The previous prime is 307129321. The next prime is 307129351. The reversal of 307129344 is 443921703.

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, 49284 + ... + 55164.

Almost surely, 2307129344 is an apocalyptic number.

307129344 is a gapful number since it is divisible by the number (34) 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 307129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433456344).

307129344 is an abundant number, since it is smaller than the sum of its proper divisors (559783344).

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

307129344 is a wasteful number, since it uses less digits than its factorization.

307129344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 307129344 is about 17525.1061052423. The cubic root of 307129344 is about 674.6943977381.

The spelling of 307129344 in words is "three hundred seven million, one hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 5881 6528 8704 11762 13056 17408 17643 23524 26112 35286 47048 52224 70572 94096 99977 141144 188192 199954 282288 299931 376384 399908 564576 599862 752768 799816 1129152 1199724 1505536 1599632 2258304 2399448 3011072 3199264 4516608 4798896 6022144 6398528 9033216 9597792 12797056 18066432 19195584 25594112 38391168 51188224 76782336 102376448 153564672 307129344