Search a number
-
+
344352504336 = 243101175340519
BaseRepresentation
bin1010000001011010000…
…00100011101000010000
31012220211111222200201220
411000231000203220100
521120213220114321
6422105433125040
733610242664221
oct5005500435020
91186744880656
10344352504336
11123048014265
12568a2b59780
132661a854909
14129497c3248
158e5634b9c6
hex502d023a10

344352504336 has 80 divisors (see below), whose sum is σ = 898919667840. Its totient is φ = 113580057600.

The previous prime is 344352504319. The next prime is 344352504347. The reversal of 344352504336 is 633405253443.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8478285 + ... + 8518803.

It is an arithmetic number, because the mean of its divisors is an integer number (11236495848).

Almost surely, 2344352504336 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 344352504336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449459833920).

344352504336 is an abundant number, since it is smaller than the sum of its proper divisors (554567163504).

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

344352504336 is a wasteful number, since it uses less digits than its factorization.

344352504336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42384 (or 42378 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 42.

Adding to 344352504336 its reverse (633405253443), we get a palindrome (977757757779).

The spelling of 344352504336 in words is "three hundred forty-four billion, three hundred fifty-two million, five hundred four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 1753 2424 3506 4848 5259 7012 10518 14024 21036 28048 40519 42072 81038 84144 121557 162076 177053 243114 324152 354106 486228 531159 648304 708212 972456 1062318 1416424 1944912 2124636 2832848 4092419 4249272 8184838 8498544 12277257 16369676 24554514 32739352 49109028 65478704 71029807 98218056 142059614 196436112 213089421 284119228 426178842 568238456 852357684 1136476912 1704715368 3409430736 7174010507 14348021014 21522031521 28696042028 43044063042 57392084056 86088126084 114784168112 172176252168 344352504336