Search a number
-
+
88301304 = 233271313477
BaseRepresentation
bin1010100001101…
…01111011111000
320011011011121200
411100311323320
5140101120204
612432334200
72121356130
oct520657370
9204134550
1088301304
1145931093
12256a4360
13153a89c0
14ba27ac0
157b43539
hex5435ef8

88301304 has 96 divisors (see below), whose sum is σ = 294359520. Its totient is φ = 23286528.

The previous prime is 88301287. The next prime is 88301309. The reversal of 88301304 is 40310388.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88301309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187 + ... + 13290.

It is an arithmetic number, because the mean of its divisors is an integer number (3066245).

Almost surely, 288301304 is an apocalyptic number.

88301304 is a gapful number since it is divisible by the number (84) 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 88301304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147179760).

88301304 is an abundant number, since it is smaller than the sum of its proper divisors (206058216).

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

88301304 is a wasteful number, since it uses less digits than its factorization.

88301304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13509 (or 13502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 88301304 is about 9396.8773536745. The cubic root of 88301304 is about 445.3030868777.

The spelling of 88301304 in words is "eighty-eight million, three hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 13477 26954 40431 53908 80862 94339 107816 121293 161724 175201 188678 242586 283017 323448 350402 377356 485172 525603 566034 700804 754712 849051 970344 1051206 1132068 1226407 1401608 1576809 1698102 2102412 2264136 2452814 3153618 3396204 3679221 4204824 4905628 6307236 6792408 7358442 9811256 11037663 12614472 14716884 22075326 29433768 44150652 88301304