Search a number
-
+
345148848 = 2432111931129
BaseRepresentation
bin10100100100101…
…000110110110000
3220001110101012200
4110210220312300
51201324230343
654125423200
711360500602
oct2444506660
9801411180
10345148848
11167911490
129770ab00
13566780b5
1433ba7172
152047b4d3
hex14928db0

345148848 has 120 divisors (see below), whose sum is σ = 1060147920. Its totient is φ = 103956480.

The previous prime is 345148847. The next prime is 345148849. The reversal of 345148848 is 848841543.

It is an interprime number because it is at equal distance from previous prime (345148847) and next prime (345148849).

It is not an unprimeable number, because it can be changed into a prime (345148847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305148 + ... + 306276.

It is an arithmetic number, because the mean of its divisors is an integer number (8834566).

Almost surely, 2345148848 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 345148848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530073960).

345148848 is an abundant number, since it is smaller than the sum of its proper divisors (714999072).

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

345148848 is a wasteful number, since it uses less digits than its factorization.

345148848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1338 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 345148848 is about 18578.1820423851. The cubic root of 345148848 is about 701.4587592794.

The spelling of 345148848 in words is "three hundred forty-five million, one hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 193 198 264 386 396 528 579 772 792 1129 1158 1544 1584 1737 2123 2258 2316 3088 3387 3474 4246 4516 4632 6369 6774 6948 8492 9032 9264 10161 12419 12738 13548 13896 16984 18064 19107 20322 24838 25476 27096 27792 33968 37257 38214 40644 49676 50952 54192 74514 76428 81288 99352 101904 111771 149028 152856 162576 198704 217897 223542 298056 305712 435794 447084 596112 653691 871588 894168 1307382 1743176 1788336 1961073 2396867 2614764 3486352 3922146 4793734 5229528 7190601 7844292 9587468 10459056 14381202 15688584 19174936 21571803 28762404 31377168 38349872 43143606 57524808 86287212 115049616 172574424 345148848