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164298376 = 231161127241
BaseRepresentation
bin10011100101011…
…11111010001000
3102110011020000001
421302233322020
5314030022001
624145252344
74033341004
oct1162577210
9373136001
10164298376
1184818890
12470340b4
1328067098
1417b6b704
15e656001
hex9cafe88

164298376 has 64 divisors (see below), whose sum is σ = 345692160. Its totient is φ = 72576000.

The previous prime is 164298373. The next prime is 164298401. The reversal of 164298376 is 673892461.

It is not an unprimeable number, because it can be changed into a prime (164298371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681616 + ... + 681856.

It is an arithmetic number, because the mean of its divisors is an integer number (5401440).

Almost surely, 2164298376 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 164298376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846080).

164298376 is an abundant number, since it is smaller than the sum of its proper divisors (181393784).

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

164298376 is a wasteful number, since it uses less digits than its factorization.

164298376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 164298376 is about 12817.8928065420. The cubic root of 164298376 is about 547.7021220188.

The spelling of 164298376 in words is "one hundred sixty-four million, two hundred ninety-eight thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 61 88 122 127 241 244 254 482 488 508 671 964 1016 1342 1397 1928 2651 2684 2794 5302 5368 5588 7747 10604 11176 14701 15494 21208 29402 30607 30988 58804 61214 61976 85217 117608 122428 161711 170434 244856 323422 336677 340868 646844 673354 681736 1293688 1346708 1867027 2693416 3734054 7468108 14936216 20537297 41074594 82149188 164298376