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128612344 = 23717532549
BaseRepresentation
bin1111010101001…
…11011111111000
322222000011222011
413222213133320
5230411043334
620432335304
73121121050
oct752473770
9288004864
10128612344
11666643a3
12370a4534
1320850ca3
141311c560
15b457564
hex7aa77f8

128612344 has 64 divisors (see below), whose sum is σ = 297432000. Its totient is φ = 50878464.

The previous prime is 128612321. The next prime is 128612371. The reversal of 128612344 is 443216821.

It is a super-2 number, since 2×1286123442 = 33082270058348672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49182 + ... + 51730.

It is an arithmetic number, because the mean of its divisors is an integer number (4647375).

Almost surely, 2128612344 is an apocalyptic number.

128612344 is a gapful number since it is divisible by the number (14) 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 128612344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148716000).

128612344 is an abundant number, since it is smaller than the sum of its proper divisors (168819656).

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

128612344 is a wasteful number, since it uses less digits than its factorization.

128612344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2628 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 128612344 is about 11340.7382475745. The cubic root of 128612344 is about 504.7707929552.

The spelling of 128612344 in words is "one hundred twenty-eight million, six hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 53 56 68 106 119 136 212 238 371 424 476 742 901 952 1484 1802 2549 2968 3604 5098 6307 7208 10196 12614 17843 20392 25228 35686 43333 50456 71372 86666 135097 142744 173332 270194 303331 346664 540388 606662 945679 1080776 1213324 1891358 2296649 2426648 3782716 4593298 7565432 9186596 16076543 18373192 32153086 64306172 128612344