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3629340740 = 2251571155841
BaseRepresentation
bin1101100001010011…
…0101100001000100
3100100221020121112102
43120110311201010
524413102400430
61400045211232
7155636613224
oct33024654104
910327217472
103629340740
1115a2739463
12853560b18
1345abb3ccc
1426602a084
1516395a345
hexd8535844

3629340740 has 24 divisors (see below), whose sum is σ = 7670167512. Its totient is φ = 1442488320.

The previous prime is 3629340733. The next prime is 3629340769. The reversal of 3629340740 is 470439263.

It can be written as a sum of positive squares in 4 ways, for example, as 15888196 + 3613452544 = 3986^2 + 60112^2 .

It is a super-2 number, since 2×36293407402 = 26344228414047495200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3629340694 and 3629340703.

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 7 ways as a sum of consecutive naturals, for example, 574781 + ... + 581060.

It is an arithmetic number, because the mean of its divisors is an integer number (319590313).

Almost surely, 23629340740 is an apocalyptic number.

It is an amenable number.

3629340740 is an abundant number, since it is smaller than the sum of its proper divisors (4040826772).

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

3629340740 is a wasteful number, since it uses less digits than its factorization.

3629340740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156007 (or 1156005 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 3629340740 is about 60244.0099926955. The cubic root of 3629340740 is about 1536.7713236006.

The spelling of 3629340740 in words is "three billion, six hundred twenty-nine million, three hundred forty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 1155841 2311682 4623364 5779205 11558410 23116820 181467037 362934074 725868148 907335185 1814670370 3629340740