Search a number
-
+
3001507340 = 2251337312007
BaseRepresentation
bin1011001011100111…
…0101111000001100
321202011212101000112
42302321311320030
522121341213330
61213500415152
7134244251156
oct26271657014
97664771015
103001507340
1113002aa987
126b92474b8
1338aac1660
142068b9ad6
15128790795
hexb2e75e0c

3001507340 has 48 divisors (see below), whose sum is σ = 6971506752. Its totient is φ = 1078292736.

The previous prime is 3001507331. The next prime is 3001507343. The reversal of 3001507340 is 437051003.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3001507343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146384 + ... + 165623.

It is an arithmetic number, because the mean of its divisors is an integer number (145239724).

Almost surely, 23001507340 is an apocalyptic number.

It is an amenable number.

3001507340 is an abundant number, since it is smaller than the sum of its proper divisors (3969999412).

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

3001507340 is a wasteful number, since it uses less digits than its factorization.

3001507340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312066 (or 312064 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 3001507340 is about 54786.0140911894. The cubic root of 3001507340 is about 1442.4910810262.

Adding to 3001507340 its reverse (437051003), we get a palindrome (3438558343).

The spelling of 3001507340 in words is "three billion, one million, five hundred seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 312007 624014 1248028 1560035 3120070 4056091 6240140 8112182 11544259 16224364 20280455 23088518 40560910 46177036 57721295 81121820 115442590 150075367 230885180 300150734 600301468 750376835 1500753670 3001507340