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164293374 = 2372619161
BaseRepresentation
bin10011100101011…
…10101011111110
3102110010222010210
421302232223332
5314024341444
624145213250
74033320300
oct1162565376
9373128123
10164293374
1184815053
1247031226
1328064a1b
1417b69970
15e6547b9
hex9caeafe

164293374 has 48 divisors (see below), whose sum is σ = 388542096. Its totient is φ = 46166400.

The previous prime is 164293369. The next prime is 164293379. The reversal of 164293374 is 473392461.

It is an interprime number because it is at equal distance from previous prime (164293369) and next prime (164293379).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164293379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13354 + ... + 22514.

It is an arithmetic number, because the mean of its divisors is an integer number (8094627).

Almost surely, 2164293374 is an apocalyptic number.

164293374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164293374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194271048).

164293374 is an abundant number, since it is smaller than the sum of its proper divisors (224248722).

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

164293374 is a wasteful number, since it uses less digits than its factorization.

164293374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9241 (or 9234 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 164293374 is about 12817.6976871824. The cubic root of 164293374 is about 547.6965637699.

The spelling of 164293374 in words is "one hundred sixty-four million, two hundred ninety-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 366 427 854 1281 2562 2989 5978 8967 9161 17934 18322 27483 54966 64127 128254 192381 384762 448889 558821 897778 1117642 1346667 1676463 2693334 3352926 3911747 7823494 11735241 23470482 27382229 54764458 82146687 164293374