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342833064 = 23372239151
BaseRepresentation
bin10100011011110…
…011011110101000
3212220002201112220
4110123303132220
51200231124224
654004034040
711332014210
oct2433633650
9786081486
10342833064
1116657a612
1296992920
1356047002
1433763240
1520170279
hex146f37a8

342833064 has 64 divisors (see below), whose sum is σ = 984023040. Its totient is φ = 97502400.

The previous prime is 342833059. The next prime is 342833069. The reversal of 342833064 is 460338243.

It is an interprime number because it is at equal distance from previous prime (342833059) and next prime (342833069).

It is not an unprimeable number, because it can be changed into a prime (342833069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32889 + ... + 42039.

It is an arithmetic number, because the mean of its divisors is an integer number (15375360).

Almost surely, 2342833064 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 342833064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492011520).

342833064 is an abundant number, since it is smaller than the sum of its proper divisors (641189976).

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

342833064 is a wasteful number, since it uses less digits than its factorization.

342833064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9390 (or 9386 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 342833064 is about 18515.7517805786. The cubic root of 342833064 is about 699.8864196670.

The spelling of 342833064 in words is "three hundred forty-two million, eight hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 446 669 892 1338 1561 1784 2676 3122 4683 5352 6244 9151 9366 12488 18302 18732 27453 36604 37464 54906 64057 73208 109812 128114 192171 219624 256228 384342 512456 768684 1537368 2040673 4081346 6122019 8162692 12244038 14284711 16325384 24488076 28569422 42854133 48976152 57138844 85708266 114277688 171416532 342833064