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88281340 = 2257317757
BaseRepresentation
bin1010100001100…
…01000011111100
320011010011020021
411100301003330
5140100000330
612432101524
72121244000
oct520610374
9204104207
1088281340
1145918094
12256948a4
131539c8a4
14ba20700
157b3c67a
hex54310fc

88281340 has 96 divisors (see below), whose sum is σ = 229219200. Its totient is φ = 28449792.

The previous prime is 88281301. The next prime is 88281343. The reversal of 88281340 is 4318288.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 88281296 and 88281305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88281343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116242 + ... + 116998.

It is an arithmetic number, because the mean of its divisors is an integer number (2387700).

Almost surely, 288281340 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 88281340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114609600).

88281340 is an abundant number, since it is smaller than the sum of its proper divisors (140937860).

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

88281340 is a wasteful number, since it uses less digits than its factorization.

88281340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 88281340 is about 9395.8150258506. The cubic root of 88281340 is about 445.2695248935.

The spelling of 88281340 in words is "eighty-eight million, two hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 343 476 490 595 686 757 833 980 1190 1372 1514 1666 1715 2380 3028 3332 3430 3785 4165 5299 5831 6860 7570 8330 10598 11662 12869 15140 16660 21196 23324 25738 26495 29155 37093 51476 52990 58310 64345 74186 90083 105980 116620 128690 148372 180166 185465 257380 259651 360332 370930 450415 519302 630581 741860 900830 1038604 1261162 1298255 1801660 2522324 2596510 3152905 4414067 5193020 6305810 8828134 12611620 17656268 22070335 44140670 88281340