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8342352 = 243441157
BaseRepresentation
bin11111110100101101010000
3120200211120000
4133310231100
54113423402
6454450000
7130623504
oct37645520
916624500
108342352
114788807
122963900
131961205
141172304
15aebc1c
hex7f4b50

8342352 has 100 divisors (see below), whose sum is σ = 24891636. Its totient is φ = 2695680.

The previous prime is 8342351. The next prime is 8342357. The reversal of 8342352 is 2532438.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 7096896 = 1116^2 + 2664^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8342351) 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, 53058 + ... + 53214.

Almost surely, 28342352 is an apocalyptic number.

8342352 is a gapful number since it is divisible by the number (82) 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 8342352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12445818).

8342352 is an abundant number, since it is smaller than the sum of its proper divisors (16549284).

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

8342352 is a wasteful number, since it uses less digits than its factorization.

8342352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 8342352 is about 2888.3130024289. The cubic root of 8342352 is about 202.8131779539.

The spelling of 8342352 in words is "eight million, three hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 157 162 164 216 246 314 324 328 369 432 471 492 628 648 656 738 942 984 1107 1256 1296 1413 1476 1884 1968 2214 2512 2826 2952 3321 3768 4239 4428 5652 5904 6437 6642 7536 8478 8856 11304 12717 12874 13284 16956 17712 19311 22608 25434 25748 26568 33912 38622 50868 51496 53136 57933 67824 77244 101736 102992 115866 154488 173799 203472 231732 308976 347598 463464 521397 695196 926928 1042794 1390392 2085588 2780784 4171176 8342352