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152343504 = 243637353
BaseRepresentation
bin10010001010010…
…01001111010000
3101121122212000000
421011021033100
5302444443004
623041130000
73526620105
oct1105111720
9347585000
10152343504
1178aa2a25
1243029900
132573c7b1
1416338aac
15d593c39
hex91493d0

152343504 has 140 divisors (see below), whose sum is σ = 455794116. Its totient is φ = 49268736.

The previous prime is 152343473. The next prime is 152343551. The reversal of 152343504 is 405343251.

152343504 is a `hidden beast` number, since 152 + 3 + 4 + 3 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103063104 + 49280400 = 10152^2 + 7020^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 431392 + ... + 431744.

Almost surely, 2152343504 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 152343504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227897058).

152343504 is an abundant number, since it is smaller than the sum of its proper divisors (303450612).

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

152343504 is an equidigital number, since it uses as much as digits as its factorization.

152343504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 152343504 is about 12342.7510709728. The cubic root of 152343504 is about 534.0820477388.

Adding to 152343504 its reverse (405343251), we get a palindrome (557686755).

The spelling of 152343504 in words is "one hundred fifty-two million, three hundred forty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 353 432 444 486 592 648 666 706 729 888 972 999 1059 1296 1332 1412 1458 1776 1944 1998 2118 2664 2824 2916 2997 3177 3888 3996 4236 5328 5648 5832 5994 6354 7992 8472 8991 9531 11664 11988 12708 13061 15984 16944 17982 19062 23976 25416 26122 26973 28593 35964 38124 39183 47952 50832 52244 53946 57186 71928 76248 78366 85779 104488 107892 114372 117549 143856 152496 156732 171558 208976 215784 228744 235098 257337 313464 343116 352647 431568 457488 470196 514674 626928 686232 705294 940392 1029348 1057941 1372464 1410588 1880784 2058696 2115882 2821176 3173823 4117392 4231764 5642352 6347646 8463528 9521469 12695292 16927056 19042938 25390584 38085876 50781168 76171752 152343504