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344243328 = 27311136269
BaseRepresentation
bin10100100001001…
…011110010000000
3212222202101001220
4110201023302000
51201111241303
654054155040
711350006602
oct2441136200
9788671056
10344243328
11167353120
1297352a80
135641bba0
1433a0d172
152034d053
hex1484bc80

344243328 has 128 divisors (see below), whose sum is σ = 1074427200. Its totient is φ = 96276480.

The previous prime is 344243327. The next prime is 344243329. The reversal of 344243328 is 823342443.

It is an interprime number because it is at equal distance from previous prime (344243327) and next prime (344243329).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (344243327) 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, 51778 + ... + 58046.

Almost surely, 2344243328 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 344243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537213600).

344243328 is an abundant number, since it is smaller than the sum of its proper divisors (730183872).

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

344243328 is a wasteful number, since it uses less digits than its factorization.

344243328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6298 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

The square root of 344243328 is about 18553.7955146649. The cubic root of 344243328 is about 700.8447814423.

The spelling of 344243328 in words is "three hundred forty-four million, two hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6269 6864 9152 12538 13728 18304 18807 25076 27456 37614 50152 54912 68959 75228 81497 100304 137918 150456 162994 200608 206877 244491 275836 300912 325988 401216 413754 488982 551672 601824 651976 802432 827508 896467 977964 1103344 1203648 1303952 1655016 1792934 1955928 2206688 2407296 2607904 2689401 3310032 3585868 3911856 4413376 5215808 5378802 6620064 7171736 7823712 8826752 10431616 10757604 13240128 14343472 15647424 21515208 26480256 28686944 31294848 43030416 57373888 86060832 114747776 172121664 344243328