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342858816 = 26321075563
BaseRepresentation
bin10100011011111…
…001110001000000
3212220011000212200
4110123321301000
51200232440231
654004353200
711332152246
oct2433716100
9786130780
10342858816
111665979a3
12969a5800
1356055951
143376c796
1520177be6
hex146f9c40

342858816 has 84 divisors (see below), whose sum is σ = 992105712. Its totient is φ = 113197824.

The previous prime is 342858811. The next prime is 342858821. The reversal of 342858816 is 618858243.

342858816 is a `hidden beast` number, since 34 + 28 + 588 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (342858811) and next prime (342858821).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (342858811) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 58851 + ... + 64413.

Almost surely, 2342858816 is an apocalyptic number.

342858816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496052856).

342858816 is an abundant number, since it is smaller than the sum of its proper divisors (649246896).

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

342858816 is a wasteful number, since it uses less digits than its factorization.

342858816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688 (or 5675 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 342858816 is about 18516.4471754168. The cubic root of 342858816 is about 699.9039432819.

The spelling of 342858816 in words is "three hundred forty-two million, eight hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 192 214 288 321 428 576 642 856 963 1284 1712 1926 2568 3424 3852 5136 5563 6848 7704 10272 11126 15408 16689 20544 22252 30816 33378 44504 50067 61632 66756 89008 100134 133512 178016 200268 267024 356032 400536 534048 595241 801072 1068096 1190482 1602144 1785723 2380964 3204288 3571446 4761928 5357169 7142892 9523856 10714338 14285784 19047712 21428676 28571568 38095424 42857352 57143136 85714704 114286272 171429408 342858816