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342255456 = 2534235741
BaseRepresentation
bin10100011001100…
…110011101100000
3212212000101020000
4110121212131200
51200104133311
653543420000
711324060214
oct2431463540
9785011200
10342255456
11166215654
1296754600
1355ba412a
1433652944
15200a9056
hex14666760

342255456 has 120 divisors (see below), whose sum is σ = 1050510384. Its totient is φ = 109105920.

The previous prime is 342255451. The next prime is 342255461. The reversal of 342255456 is 654552243.

342255456 is a `hidden beast` number, since 34 + 22 + 554 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (342255451) and next prime (342255461).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 342255456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342255451) 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 19 ways as a sum of consecutive naturals, for example, 56746 + ... + 62486.

Almost surely, 2342255456 is an apocalyptic number.

342255456 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 342255456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525255192).

342255456 is an abundant number, since it is smaller than the sum of its proper divisors (708254928).

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

342255456 is a wasteful number, since it uses less digits than its factorization.

342255456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5769 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 342255456 is about 18500.1474588718. The cubic root of 342255456 is about 699.4931405623.

The spelling of 342255456 in words is "three hundred forty-two million, two hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 2208 2484 2592 3312 3726 4968 5741 6624 7452 9936 11482 14904 17223 19872 22964 29808 34446 45928 51669 59616 68892 91856 103338 132043 137784 155007 183712 206676 264086 275568 310014 396129 413352 465021 528172 551136 620028 792258 826704 930042 1056344 1188387 1240056 1584516 1653408 1860084 2112688 2376774 2480112 3169032 3565161 3720168 4225376 4753548 4960224 6338064 7130322 7440336 9507096 10695483 12676128 14260644 14880672 19014192 21390966 28521288 38028384 42781932 57042576 85563864 114085152 171127728 342255456