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164327424 = 212343311
BaseRepresentation
bin10011100101101…
…11000000000000
3102110012200211220
421302313000000
5314031434144
624150035040
74033521462
oct1162670000
9373180756
10164327424
1184838698
1247048a80
1328077381
1417b78132
15e65e919
hex9cb7000

164327424 has 104 divisors (see below), whose sum is σ = 449784192. Its totient is φ = 53329920.

The previous prime is 164327413. The next prime is 164327437. The reversal of 164327424 is 424723461.

164327424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528229 + ... + 528539.

It is an arithmetic number, because the mean of its divisors is an integer number (4324848).

Almost surely, 2164327424 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 164327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224892096).

164327424 is an abundant number, since it is smaller than the sum of its proper divisors (285456768).

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

164327424 is an equidigital number, since it uses as much as digits as its factorization.

164327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 164327424 is about 12819.0258600254. The cubic root of 164327424 is about 547.7343980808.

The spelling of 164327424 in words is "one hundred sixty-four million, three hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 311 344 384 512 516 622 688 768 933 1024 1032 1244 1376 1536 1866 2048 2064 2488 2752 3072 3732 4096 4128 4976 5504 6144 7464 8256 9952 11008 12288 13373 14928 16512 19904 22016 26746 29856 33024 39808 40119 44032 53492 59712 66048 79616 80238 88064 106984 119424 132096 159232 160476 176128 213968 238848 264192 318464 320952 427936 477696 528384 636928 641904 855872 955392 1273856 1283808 1711744 1910784 2567616 3423488 3821568 5135232 6846976 10270464 13693952 20540928 27387904 41081856 54775808 82163712 164327424