Search a number
-
+
345016854 = 233713611151
BaseRepresentation
bin10100100100001…
…000101000010110
3220001012200011000
4110210020220112
51201311014404
654122524130
711356411020
oct2444105026
9801180130
10345016854
111678312a6
1297666646
135662ccb0
1433b71010
1520452339
hex14908a16

345016854 has 128 divisors (see below), whose sum is σ = 959938560. Its totient is φ = 89424000.

The previous prime is 345016843. The next prime is 345016871. The reversal of 345016854 is 458610543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299179 + ... + 300329.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2345016854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345016854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

345016854 is an abundant number, since it is smaller than the sum of its proper divisors (614921706).

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

345016854 is a wasteful number, since it uses less digits than its factorization.

345016854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 345016854 is about 18574.6293098947. The cubic root of 345016854 is about 701.3693291168.

The spelling of 345016854 in words is "three hundred forty-five million, sixteen thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 61 63 78 91 117 122 126 182 183 189 234 273 351 366 378 427 546 549 702 793 819 854 1098 1151 1281 1586 1638 1647 2302 2379 2457 2562 3294 3453 3843 4758 4914 5551 6906 7137 7686 8057 10359 11102 11529 14274 14963 16114 16653 20718 21411 23058 24171 29926 31077 33306 42822 44889 48342 49959 62154 70211 72513 89778 99918 104741 134667 140422 145026 149877 209482 210633 217539 269334 299754 314223 404001 421266 435078 491477 628446 631899 808002 912743 942669 982954 1263798 1474431 1825486 1885338 1895697 2738229 2828007 2948862 3791394 4423293 5476458 5656014 6389201 8214687 8846586 12778402 13269879 16429374 19167603 24644061 26539758 38335206 49288122 57502809 115005618 172508427 345016854