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152132344 = 23713673119
BaseRepresentation
bin10010001000101…
…01101011111000
3101121021010100021
421010111223320
5302421213334
623032420224
73525050350
oct1104255370
9347233307
10152132344
1178969311
1242b47674
1325697650
14162c1b60
15d5513b4
hex9115af8

152132344 has 64 divisors (see below), whose sum is σ = 356428800. Its totient is φ = 59266944.

The previous prime is 152132333. The next prime is 152132389. The reversal of 152132344 is 443231251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47217 + ... + 50335.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2152132344 is an apocalyptic number.

152132344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152132344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

152132344 is an abundant number, since it is smaller than the sum of its proper divisors (204296456).

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

152132344 is a wasteful number, since it uses less digits than its factorization.

152132344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3208 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 152132344 is about 12334.1940960891. The cubic root of 152132344 is about 533.8351738252.

Adding to 152132344 its reverse (443231251), we get a palindrome (595363595).

It can be divided in two parts, 152 and 132344, that added together give a square (132496 = 3642).

The spelling of 152132344 in words is "one hundred fifty-two million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 67 91 104 134 182 268 364 469 536 728 871 938 1742 1876 3119 3484 3752 6097 6238 6968 12194 12476 21833 24388 24952 40547 43666 48776 81094 87332 162188 174664 208973 283829 324376 417946 567658 835892 1135316 1462811 1671784 2270632 2716649 2925622 5433298 5851244 10866596 11702488 19016543 21733192 38033086 76066172 152132344