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342122416 = 241711311131
BaseRepresentation
bin10100011001000…
…101111110110000
3212211202121201121
4110121011332300
51200040404131
653540512024
711322664306
oct2431057660
9784677647
10342122416
111661346a9
12966ab614
1355b586cc
143361a276
152007e911
hex14645fb0

342122416 has 40 divisors (see below), whose sum is σ = 708128784. Its totient is φ = 159559680.

The previous prime is 342122413. The next prime is 342122419. The reversal of 342122416 is 614221243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342122413) and next prime (342122419).

It is not an unprimeable number, because it can be changed into a prime (342122413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25171 + ... + 36301.

Almost surely, 2342122416 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 342122416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354064392).

342122416 is an abundant number, since it is smaller than the sum of its proper divisors (366006368).

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

342122416 is a wasteful number, since it uses less digits than its factorization.

342122416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11269 (or 11263 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 342122416 is about 18496.5514623672. The cubic root of 342122416 is about 699.4024942079.

Adding to 342122416 its reverse (614221243), we get a palindrome (956343659).

The spelling of 342122416 in words is "three hundred forty-two million, one hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 113 136 226 272 452 904 1808 1921 3842 7684 11131 15368 22262 30736 44524 89048 178096 189227 378454 756908 1257803 1513816 2515606 3027632 5031212 10062424 20124848 21382651 42765302 85530604 171061208 342122416