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342839952 = 24367131719
BaseRepresentation
bin10100011011110…
…101001010010000
3212220010002000000
4110123311022100
51200231334302
654004130000
711332043250
oct2433651220
9786102000
10342839952
11166584804
1296996900
135604a1a0
1433765960
152017231c
hex146f5290

342839952 has 560 divisors, whose sum is σ = 1366162560. Its totient is φ = 80621568.

The previous prime is 342839941. The next prime is 342839963. The reversal of 342839952 is 259938243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342839941) and next prime (342839963).

It is a junction number, because it is equal to n+sod(n) for n = 342839898 and 342839907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18044199 + ... + 18044217.

It is an arithmetic number, because the mean of its divisors is an integer number (2439576).

Almost surely, 2342839952 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 342839952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683081280).

342839952 is an abundant number, since it is smaller than the sum of its proper divisors (1023322608).

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

342839952 is a wasteful number, since it uses less digits than its factorization.

342839952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 342839952 is about 18515.9377834340. The cubic root of 342839952 is about 699.8911068708.

The spelling of 342839952 in words is "three hundred forty-two million, eight hundred thirty-nine thousand, nine hundred fifty-two".