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334264128 = 26311158269
BaseRepresentation
bin10011111011000…
…111011101000000
3212021222101011220
4103323013131000
51141032423003
653100235040
711166124662
oct2373073500
9767871156
10334264128
11161757650
1293b3ba80
1354336933
1432572532
151e52b353
hex13ec7740

334264128 has 56 divisors (see below), whose sum is σ = 964813920. Its totient is φ = 101291520.

The previous prime is 334264111. The next prime is 334264181. The reversal of 334264128 is 821462433.

It is a super-3 number, since 3×3342641283 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 a congruent number.

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, 77023 + ... + 81246.

It is an arithmetic number, because the mean of its divisors is an integer number (17228820).

Almost surely, 2334264128 is an apocalyptic number.

It is an amenable number.

334264128 is an abundant number, since it is smaller than the sum of its proper divisors (630549792).

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

334264128 is a wasteful number, since it uses less digits than its factorization.

334264128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158295 (or 158285 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 334264128 is about 18282.8916750059. The cubic root of 334264128 is about 694.0060515436.

It can be divided in two parts, 334 and 264128, that added together give a palindrome (264462).

The spelling of 334264128 in words is "three hundred thirty-four million, two hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 158269 316538 474807 633076 949614 1266152 1740959 1899228 2532304 3481918 3798456 5064608 5222877 6963836 7596912 10129216 10445754 13927672 15193824 20891508 27855344 30387648 41783016 55710688 83566032 111421376 167132064 334264128