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5340442152 = 2331761892411
BaseRepresentation
bin1001111100101000…
…01010111000101000
3111210011222120101210
410332110022320220
541414123122102
62241532113120
7246225003123
oct47624127050
914704876353
105340442152
1122a05a4261
1210506057a0
13671549556
143893a13ba
15213ca336c
hex13e50ae28

5340442152 has 128 divisors (see below), whose sum is σ = 14535676800. Its totient is φ = 1628774400.

The previous prime is 5340442141. The next prime is 5340442153. The reversal of 5340442152 is 2512440435.

It is a super-3 number, since 3×53404421523 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5340442153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2213827 + ... + 2216237.

It is an arithmetic number, because the mean of its divisors is an integer number (113559975).

Almost surely, 25340442152 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 5340442152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267838400).

5340442152 is an abundant number, since it is smaller than the sum of its proper divisors (9195234648).

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

5340442152 is a wasteful number, since it uses less digits than its factorization.

5340442152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5340442152 is about 73078.3288807291. The cubic root of 5340442152 is about 1747.9368504714.

Adding to 5340442152 its reverse (2512440435), we get a palindrome (7852882587).

The spelling of 5340442152 in words is "five billion, three hundred forty million, four hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 89 102 122 136 178 183 204 244 267 356 366 408 488 534 712 732 1037 1068 1464 1513 2074 2136 2411 3026 3111 4148 4539 4822 5429 6052 6222 7233 8296 9078 9644 10858 12104 12444 14466 16287 18156 19288 21716 24888 28932 32574 36312 40987 43432 57864 65148 81974 92293 122961 130296 147071 163948 184586 214579 245922 276879 294142 327896 369172 429158 441213 491844 553758 588284 643737 738344 858316 882426 983688 1107516 1176568 1287474 1716632 1764852 2215032 2500207 2574948 3529704 3647843 5000414 5149896 7295686 7500621 10000828 10943529 13089319 14591372 15001242 20001656 21887058 26178638 29182744 30002484 39267957 43774116 52357276 60004968 78535914 87548232 104714552 157071828 222518423 314143656 445036846 667555269 890073692 1335110538 1780147384 2670221076 5340442152