Search a number
-
+
345047504 = 24172711051
BaseRepresentation
bin10100100100010…
…000000111010000
3220001021020012012
4110210100013100
51201313010004
654123322052
711356566254
oct2444200720
9801236165
10345047504
1116785232a
1297680328
1356640c29
1433b7c264
152045b46e
hex149101d0

345047504 has 60 divisors (see below), whose sum is σ = 720855648. Its totient is φ = 159936000.

The previous prime is 345047503. The next prime is 345047531. The reversal of 345047504 is 405740543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345047503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327779 + ... + 328829.

Almost surely, 2345047504 is an apocalyptic number.

345047504 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 345047504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360427824).

345047504 is an abundant number, since it is smaller than the sum of its proper divisors (375808144).

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

345047504 is a wasteful number, since it uses less digits than its factorization.

345047504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 345047504 is about 18575.4543416844. The cubic root of 345047504 is about 701.3900975065.

The spelling of 345047504 in words is "three hundred forty-five million, forty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 289 568 578 1051 1136 1156 1207 2102 2312 2414 4204 4624 4828 8408 9656 16816 17867 19312 20519 35734 41038 71468 74621 82076 142936 149242 164152 285872 298484 303739 328304 596968 607478 1193936 1214956 1268557 2429912 2537114 4859824 5074228 10148456 20296912 21565469 43130938 86261876 172523752 345047504