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152322324 = 223711353467
BaseRepresentation
bin10010001010001…
…00000100010100
3101121121202221120
421011010010110
5302443303244
623040443540
73526501260
oct1105040424
9347552846
10152322324
1178a89020
12430195b0
1325732c6b
14163310a0
15d58c819
hex9144114

152322324 has 96 divisors (see below), whose sum is σ = 445326336. Its totient is φ = 39367680.

The previous prime is 152322293. The next prime is 152322341. The reversal of 152322324 is 423223251.

It is a junction number, because it is equal to n+sod(n) for n = 152322294 and 152322303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325939 + ... + 326405.

It is an arithmetic number, because the mean of its divisors is an integer number (4638816).

Almost surely, 2152322324 is an apocalyptic number.

152322324 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 152322324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222663168).

152322324 is an abundant number, since it is smaller than the sum of its proper divisors (293004012).

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

152322324 is a wasteful number, since it uses less digits than its factorization.

152322324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 152322324 is about 12341.8930476649. The cubic root of 152322324 is about 534.0572958202.

Adding to 152322324 its reverse (423223251), we get a palindrome (575545575).

It can be divided in two parts, 1 and 52322324, that added together give a palindrome (52322325).

The spelling of 152322324 in words is "one hundred fifty-two million, three hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 353 462 467 706 924 934 1059 1401 1412 1868 2118 2471 2802 3269 3883 4236 4942 5137 5604 6538 7413 7766 9807 9884 10274 11649 13076 14826 15411 15532 19614 20548 23298 27181 29652 30822 35959 39228 46596 54362 61644 71918 81543 107877 108724 143836 163086 164851 215754 326172 329702 431508 494553 659404 989106 1153957 1813361 1978212 2307914 3461871 3626722 4615828 5440083 6923742 7253444 10880166 12693527 13847484 21760332 25387054 38080581 50774108 76161162 152322324