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342040728 = 233233716747
BaseRepresentation
bin10100011000110…
…010000010011000
3212211121110200010
4110120302002120
51200030300403
653535041520
711322204201
oct2430620230
9784543603
10342040728
11166089297
12966702a0
1355b2a483
14335d85a8
1520065603
hex14632098

342040728 has 64 divisors (see below), whose sum is σ = 916450560. Its totient is φ = 106102656.

The previous prime is 342040723. The next prime is 342040729. The reversal of 342040728 is 827040243.

It is a super-2 number, since 2×3420407282 = 233983719221539968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342040695 and 342040704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342040723) 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, 12051 + ... + 28797.

It is an arithmetic number, because the mean of its divisors is an integer number (14319540).

Almost surely, 2342040728 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 342040728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458225280).

342040728 is an abundant number, since it is smaller than the sum of its proper divisors (574409832).

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

342040728 is a wasteful number, since it uses less digits than its factorization.

342040728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16816 (or 16812 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 342040728 is about 18494.3431351319. The cubic root of 342040728 is about 699.3468247204.

The spelling of 342040728 in words is "three hundred forty-two million, forty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 552 851 888 1702 2553 3404 5106 6808 10212 16747 20424 33494 50241 66988 100482 133976 200964 385181 401928 619639 770362 1155543 1239278 1540724 1858917 2311086 2478556 3081448 3717834 4622172 4957112 7435668 9244344 14251697 14871336 28503394 42755091 57006788 85510182 114013576 171020364 342040728