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342875008 = 2772571489
BaseRepresentation
bin10100011011111…
…101101110000000
3212220011212002101
4110123331232000
51200234000013
654005000144
711332250410
oct2433755600
9786155071
10342875008
111665a9083
12969b3054
1356060128
1433774640
152017c8dd
hex146fdb80

342875008 has 64 divisors (see below), whose sum is σ = 784216800. Its totient is φ = 146276352.

The previous prime is 342874999. The next prime is 342875009. The reversal of 342875008 is 800578243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3428750082 = 235126542222000128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342875009) 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, 229528 + ... + 231016.

Almost surely, 2342875008 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 342875008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392108400).

342875008 is an abundant number, since it is smaller than the sum of its proper divisors (441341792).

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

342875008 is a wasteful number, since it uses less digits than its factorization.

342875008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 342875008 is about 18516.8844031603. The cubic root of 342875008 is about 699.9149610981.

The spelling of 342875008 in words is "three hundred forty-two million, eight hundred seventy-five thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 257 448 514 896 1028 1489 1799 2056 2978 3598 4112 5956 7196 8224 10423 11912 14392 16448 20846 23824 28784 32896 41692 47648 57568 83384 95296 115136 166768 190592 230272 333536 382673 667072 765346 1334144 1530692 2678711 3061384 5357422 6122768 10714844 12245536 21429688 24491072 42859376 48982144 85718752 171437504 342875008