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132340224 = 293292971
BaseRepresentation
bin1111110001101…
…01101000000000
3100020000120122210
413320311220000
5232334341344
621044302120
73164605362
oct770655000
9306016583
10132340224
1168780195
12383a1940
1321557a33
141380cd32
15b941db9
hex7e35a00

132340224 has 80 divisors (see below), whose sum is σ = 364842720. Its totient is φ = 42577920.

The previous prime is 132340211. The next prime is 132340259. The reversal of 132340224 is 422043231.

It is a self number, because there is not a number n which added to its sum of digits gives 132340224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43059 + ... + 46029.

It is an arithmetic number, because the mean of its divisors is an integer number (4560534).

Almost surely, 2132340224 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 132340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182421360).

132340224 is an abundant number, since it is smaller than the sum of its proper divisors (232502496).

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

132340224 is an equidigital number, since it uses as much as digits as its factorization.

132340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 132340224 is about 11503.9221137836. The cubic root of 132340224 is about 509.6014109795.

Adding to 132340224 its reverse (422043231), we get a palindrome (554383455).

The spelling of 132340224 in words is "one hundred thirty-two million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1392 1536 1856 2784 2971 3712 5568 5942 7424 8913 11136 11884 14848 17826 22272 23768 35652 44544 47536 71304 86159 95072 142608 172318 190144 258477 285216 344636 380288 516954 570432 689272 760576 1033908 1140864 1378544 1521152 2067816 2281728 2757088 4135632 4563456 5514176 8271264 11028352 16542528 22056704 33085056 44113408 66170112 132340224