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343017072 = 2433732149
BaseRepresentation
bin10100011100100…
…000011001110000
3212220110001222000
4110130200121300
51200303021242
654012014000
711333411526
oct2434403160
9786401860
10343017072
11166695892
1296a61300
13560ac9a8
14337b0316
15201a9a4c
hex14720670

343017072 has 120 divisors (see below), whose sum is σ = 1004958000. Its totient is φ = 112015872.

The previous prime is 343017067. The next prime is 343017083. The reversal of 343017072 is 270710343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2302054 + ... + 2302202.

It is an arithmetic number, because the mean of its divisors is an integer number (8374650).

Almost surely, 2343017072 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 343017072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502479000).

343017072 is an abundant number, since it is smaller than the sum of its proper divisors (661940928).

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

343017072 is a wasteful number, since it uses less digits than its factorization.

343017072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 343017072 is about 18520.7200723946. The cubic root of 343017072 is about 700.0116134128.

It can be divided in two parts, 3430 and 17072, that added together give a palindrome (20502).

The spelling of 343017072 in words is "three hundred forty-three million, seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 149 216 219 292 298 432 438 447 584 596 657 876 894 1168 1192 1314 1341 1752 1788 1971 2384 2628 2682 3504 3576 3942 4023 5256 5329 5364 7152 7884 8046 10512 10658 10728 10877 15768 15987 16092 21316 21456 21754 31536 31974 32184 32631 42632 43508 47961 63948 64368 65262 85264 87016 95922 97893 127896 130524 143883 174032 191844 195786 255792 261048 287766 293679 383688 391572 522096 575532 587358 767376 783144 794021 1151064 1174716 1566288 1588042 2302128 2349432 2382063 3176084 4698864 4764126 6352168 7146189 9528252 12704336 14292378 19056504 21438567 28584756 38113008 42877134 57169512 85754268 114339024 171508536 343017072