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164452340 = 225136110369
BaseRepresentation
bin10011100110101…
…01011111110100
3102110110001012102
421303111133310
5314044433330
624152441232
74034551613
oct1163253764
9373401172
10164452340
1184913528
12470a9218
13280bc1a0
1417bab87a
15e686945
hex9cd57f4

164452340 has 48 divisors (see below), whose sum is σ = 378048720. Its totient is φ = 59719680.

The previous prime is 164452313. The next prime is 164452349. The reversal of 164452340 is 43254461.

It can be written as a sum of positive squares in 8 ways, for example, as 91623184 + 72829156 = 9572^2 + 8534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164452349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10676 + ... + 21044.

It is an arithmetic number, because the mean of its divisors is an integer number (7876015).

Almost surely, 2164452340 is an apocalyptic number.

164452340 is a gapful number since it is divisible by the number (10) 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 164452340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189024360).

164452340 is an abundant number, since it is smaller than the sum of its proper divisors (213596380).

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

164452340 is a wasteful number, since it uses less digits than its factorization.

164452340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 164452340 is about 12823.8972235432. The cubic root of 164452340 is about 547.8731524828.

The spelling of 164452340 in words is "one hundred sixty-four million, four hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 3172 3965 7930 10369 15860 20738 41476 51845 103690 134797 207380 269594 539188 632509 673985 1265018 1347970 2530036 2695940 3162545 6325090 8222617 12650180 16445234 32890468 41113085 82226170 164452340