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67342848 = 293172579
BaseRepresentation
bin1000000001110…
…01001000000000
311200201101000120
410000321020000
5114214432343
610403220240
71445255556
oct400711000
9150641016
1067342848
1135016751
121a677680
1310c4b251
148d2dbd6
155da3683
hex4039200

67342848 has 80 divisors (see below), whose sum is σ = 190032480. Its totient is φ = 21118976.

The previous prime is 67342823. The next prime is 67342879. The reversal of 67342848 is 84824376.

It is a super-2 number, since 2×673428482 = 9070118353502208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24823 + ... + 27401.

It is an arithmetic number, because the mean of its divisors is an integer number (2375406).

Almost surely, 267342848 is an apocalyptic number.

67342848 is a gapful number since it is divisible by the number (68) 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 67342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95016240).

67342848 is an abundant number, since it is smaller than the sum of its proper divisors (122689632).

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

67342848 is a wasteful number, since it uses less digits than its factorization.

67342848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2601 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 67342848 is about 8206.2688232838. The cubic root of 67342848 is about 406.8464146118.

The spelling of 67342848 in words is "sixty-seven million, three hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 2579 3264 4352 5158 6528 7737 8704 10316 13056 15474 20632 26112 30948 41264 43843 61896 82528 87686 123792 131529 165056 175372 247584 263058 330112 350744 495168 526116 660224 701488 990336 1052232 1320448 1402976 1980672 2104464 2805952 3961344 4208928 5611904 8417856 11223808 16835712 22447616 33671424 67342848