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102301344 = 2532715003
BaseRepresentation
bin1100001100011…
…11111010100000
321010111110001200
412012033322200
5202142120334
614052401200
72351355435
oct606177240
9233443050
10102301344
1152823572
122a316200
131826b152
14d82db8c
158eab799
hex618fea0

102301344 has 72 divisors (see below), whose sum is σ = 295075872. Its totient is φ = 33613440.

The previous prime is 102301327. The next prime is 102301373. The reversal of 102301344 is 443103201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17947 + ... + 22949.

It is an arithmetic number, because the mean of its divisors is an integer number (4098276).

Almost surely, 2102301344 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 102301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147537936).

102301344 is an abundant number, since it is smaller than the sum of its proper divisors (192774528).

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

102301344 is a wasteful number, since it uses less digits than its factorization.

102301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102301344 is about 10114.4126868543. The cubic root of 102301344 is about 467.6925440593.

Adding to 102301344 its reverse (443103201), we get a palindrome (545404545).

The spelling of 102301344 in words is "one hundred two million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5003 5112 6816 10006 10224 15009 20012 20448 30018 40024 45027 60036 80048 90054 120072 160096 180108 240144 355213 360216 480288 710426 720432 1065639 1420852 1440864 2131278 2841704 3196917 4262556 5683408 6393834 8525112 11366816 12787668 17050224 25575336 34100448 51150672 102301344