Search a number
-
+
188340320 = 2557224023
BaseRepresentation
bin10110011100111…
…01100001100000
3111010101200100102
423032131201200
5341203342240
630404441532
74444603100
oct1316354140
9433350312
10188340320
1197349963
12530a92a8
133003419c
141b029200
1511804815
hexb39d860

188340320 has 72 divisors (see below), whose sum is σ = 517621104. Its totient is φ = 64571136.

The previous prime is 188340277. The next prime is 188340329. The reversal of 188340320 is 23043881.

It is a happy number.

It is a super-2 number, since 2×1883403202 = 70944152275404800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188340329) by changing a digit.

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, 4172 + ... + 19851.

It is an arithmetic number, because the mean of its divisors is an integer number (7189182).

Almost surely, 2188340320 is an apocalyptic number.

188340320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

188340320 is an abundant number, since it is smaller than the sum of its proper divisors (329280784).

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

188340320 is a wasteful number, since it uses less digits than its factorization.

188340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24052 (or 24037 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 188340320 is about 13723.7137830836. The cubic root of 188340320 is about 573.2108926685.

The spelling of 188340320 in words is "one hundred eighty-eight million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 24023 48046 96092 120115 168161 192184 240230 336322 384368 480460 672644 768736 840805 960920 1177127 1345288 1681610 1921840 2354254 2690576 3363220 3843680 4708508 5381152 5885635 6726440 9417016 11771270 13452880 18834032 23542540 26905760 37668064 47085080 94170160 188340320