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346025064 = 2337211231163
BaseRepresentation
bin10100100111111…
…110110001101000
3220010002220011010
4110213332301220
51202040300224
654200303520
711401110300
oct2447766150
9803086133
10346025064
1116835a830
1297a71ba0
13568c3b78
1433d54600
15205a0e29
hex149fec68

346025064 has 192 divisors, whose sum is σ = 1146493440. Its totient is φ = 85895040.

The previous prime is 346025059. The next prime is 346025081. The reversal of 346025064 is 460520643.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296947 + ... + 298109.

It is an arithmetic number, because the mean of its divisors is an integer number (5971320).

Almost surely, 2346025064 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 346025064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573246720).

346025064 is an abundant number, since it is smaller than the sum of its proper divisors (800468376).

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

346025064 is a wasteful number, since it uses less digits than its factorization.

346025064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 346025064 is about 18601.7489500316. The cubic root of 346025064 is about 702.0518463993.

The spelling of 346025064 in words is "three hundred forty-six million, twenty-five thousand, sixty-four".