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342311424 = 2937133179
BaseRepresentation
bin10100011001110…
…100001000000000
3212212010012222220
4110121310020000
51200112431144
653544531040
711324412330
oct2431641000
9785105886
10342311424
11166253704
1296780a80
1355bc3750
14336690c0
15200ba919
hex14674200

342311424 has 320 divisors, whose sum is σ = 1173258240. Its totient is φ = 86261760.

The previous prime is 342311327. The next prime is 342311441. The reversal of 342311424 is 424113243.

It is a super-3 number, since 3×3423114243 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 342311394 and 342311403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4333017 + ... + 4333095.

It is an arithmetic number, because the mean of its divisors is an integer number (3666432).

Almost surely, 2342311424 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 342311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586629120).

342311424 is an abundant number, since it is smaller than the sum of its proper divisors (830946816).

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

342311424 is a wasteful number, since it uses less digits than its factorization.

342311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 342311424 is about 18501.6600336294. The cubic root of 342311424 is about 699.5312671503.

Adding to 342311424 its reverse (424113243), we get a palindrome (766424667).

The spelling of 342311424 in words is "three hundred forty-two million, three hundred eleven thousand, four hundred twenty-four".