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164269944 = 233741229
BaseRepresentation
bin10011100101010…
…00111101111000
3102110002210000000
421302220331320
5314023114234
624144513000
74033162056
oct1162507570
9373083000
10164269944
11847a9493
124701b760
1328057167
1417b611d6
15e64c899
hex9ca8f78

164269944 has 128 divisors (see below), whose sum is σ = 475272000. Its totient is φ = 53187840.

The previous prime is 164269943. The next prime is 164269951. The reversal of 164269944 is 449962461.

It is a super-3 number, since 3×1642699443 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 164269944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164269943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717222 + ... + 717450.

Almost surely, 2164269944 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 164269944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237636000).

164269944 is an abundant number, since it is smaller than the sum of its proper divisors (311002056).

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

164269944 is an equidigital number, since it uses as much as digits as its factorization.

164269944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 164269944 is about 12816.7836839045. The cubic root of 164269944 is about 547.6705267276.

The spelling of 164269944 in words is "one hundred sixty-four million, two hundred sixty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 229 243 246 324 328 369 458 486 492 648 687 729 738 916 972 984 1107 1374 1458 1476 1832 1944 2061 2187 2214 2748 2916 2952 3321 4122 4374 4428 5496 5832 6183 6642 8244 8748 8856 9389 9963 12366 13284 16488 17496 18549 18778 19926 24732 26568 28167 29889 37098 37556 39852 49464 55647 56334 59778 74196 75112 79704 84501 89667 111294 112668 119556 148392 166941 169002 179334 222588 225336 239112 253503 333882 338004 358668 445176 500823 507006 667764 676008 717336 760509 1001646 1014012 1335528 1521018 2003292 2028024 2281527 3042036 4006584 4563054 6084072 6844581 9126108 13689162 18252216 20533743 27378324 41067486 54756648 82134972 164269944