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152343352 = 23722361277
BaseRepresentation
bin10010001010010…
…01001100111000
3101121122211210101
421011021030320
5302444441402
623041125144
73526616500
oct1105111470
9347584711
10152343352
1178aa28a7
12430297b4
132573c6c5
1416338a00
15d593b87
hex9149338

152343352 has 96 divisors (see below), whose sum is σ = 353682720. Its totient is φ = 61205760.

The previous prime is 152343343. The next prime is 152343353. The reversal of 152343352 is 253343251.

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 152343352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152343353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549838 + ... + 550114.

It is an arithmetic number, because the mean of its divisors is an integer number (3684195).

Almost surely, 2152343352 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 152343352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176841360).

152343352 is an abundant number, since it is smaller than the sum of its proper divisors (201339368).

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

152343352 is a wasteful number, since it uses less digits than its factorization.

152343352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its digits is 10800, while the sum is 28.

The square root of 152343352 is about 12342.7449135109. The cubic root of 152343352 is about 534.0818701129.

The spelling of 152343352 in words is "one hundred fifty-two million, three hundred forty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 61 92 98 122 161 184 196 244 277 322 392 427 488 554 644 854 1108 1127 1288 1403 1708 1939 2216 2254 2806 2989 3416 3878 4508 5612 5978 6371 7756 9016 9821 11224 11956 12742 13573 15512 16897 19642 23912 25484 27146 33794 39284 44597 50968 54292 67588 68747 78568 89194 108584 118279 135176 137494 178388 236558 274988 312179 356776 388631 473116 549976 624358 777262 827953 946232 1248716 1554524 1655906 2497432 2720417 3109048 3311812 5440834 6623624 10881668 19042919 21763336 38085838 76171676 152343352