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164061352 = 237131929409
BaseRepresentation
bin10011100011101…
…10000010101000
3102102201011212101
421301312002220
5313444430402
624140223144
74031332660
oct1161660250
9372634771
10164061352
11846767a4
1246b3aab4
1327cb3230
1417b091a0
15e60ab87
hex9c760a8

164061352 has 128 divisors (see below), whose sum is σ = 413280000. Its totient is φ = 59222016.

The previous prime is 164061329. The next prime is 164061353. The reversal of 164061352 is 253160461.

It is a super-2 number, since 2×1640613522 = 53832254440135808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 164061352.

It is not an unprimeable number, because it can be changed into a prime (164061353) 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, 400924 + ... + 401332.

It is an arithmetic number, because the mean of its divisors is an integer number (3228750).

Almost surely, 2164061352 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 164061352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206640000).

164061352 is an abundant number, since it is smaller than the sum of its proper divisors (249218648).

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

164061352 is a wasteful number, since it uses less digits than its factorization.

164061352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 164061352 is about 12808.6436440398. The cubic root of 164061352 is about 547.4386156099.

The spelling of 164061352 in words is "one hundred sixty-four million, sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 29 38 52 56 58 76 91 104 116 133 152 182 203 232 247 266 364 377 406 409 494 532 551 728 754 812 818 988 1064 1102 1508 1624 1636 1729 1976 2204 2639 2863 3016 3272 3458 3857 4408 5278 5317 5726 6916 7163 7714 7771 10556 10634 11452 11861 13832 14326 15428 15542 21112 21268 22904 23722 28652 30856 31084 37219 42536 47444 50141 54397 57304 62168 74438 83027 94888 100282 101023 108794 148876 154193 166054 200564 202046 217588 225359 297752 308386 332108 401128 404092 435176 450718 616772 664216 707161 808184 901436 1079351 1233544 1414322 1577513 1802872 2158702 2828644 2929667 3155026 4317404 5657288 5859334 6310052 8634808 11718668 12620104 20507669 23437336 41015338 82030676 164061352