Search a number
-
+
349241312 = 2571559113
BaseRepresentation
bin10100110100001…
…111111111100000
3220100011022000102
4110310033333200
51203401210222
654353241532
711440334150
oct2464177740
9810138012
10349241312
1116a157192
1298b632a8
135747ba84
1434550760
15209d8d92
hex14d0ffe0

349241312 has 24 divisors (see below), whose sum is σ = 785793456. Its totient is φ = 149674752.

The previous prime is 349241279. The next prime is 349241329. The reversal of 349241312 is 213142943.

It is a super-3 number, since 3×3492413123 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 779333 + ... + 779780.

It is an arithmetic number, because the mean of its divisors is an integer number (32741394).

Almost surely, 2349241312 is an apocalyptic number.

349241312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349241312 is an abundant number, since it is smaller than the sum of its proper divisors (436552144).

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

349241312 is a wasteful number, since it uses less digits than its factorization.

349241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559130 (or 1559122 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 349241312 is about 18687.9991438356. Note that the first 3 decimals coincide. The cubic root of 349241312 is about 704.2202952111.

The spelling of 349241312 in words is "three hundred forty-nine million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1559113 3118226 6236452 10913791 12472904 21827582 24945808 43655164 49891616 87310328 174620656 349241312