Search a number
-
+
3715334028 = 2233739712379
BaseRepresentation
bin1101110101110011…
…0111111110001100
3100120221001112011000
43131130313332030
530102111142103
61412400300300
7161032550430
oct33534677614
910527045130
103715334028
11163723349a
12878311690
13472962303
142736129c0
1516b294aa3
hexdd737f8c

3715334028 has 96 divisors (see below), whose sum is σ = 11037017600. Its totient is φ = 1058764608.

The previous prime is 3715334027. The next prime is 3715334083. The reversal of 3715334028 is 8204335173.

It is a super-2 number, since 2×37153340282 = 27607413879229409568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3715333983 and 3715334001.

It is not an unprimeable number, because it can be changed into a prime (3715334027) 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, 293943 + ... + 306321.

Almost surely, 23715334028 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 3715334028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518508800).

3715334028 is an abundant number, since it is smaller than the sum of its proper divisors (7321683572).

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

3715334028 is a wasteful number, since it uses less digits than its factorization.

3715334028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12796 (or 12788 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3715334028 is about 60953.5399136096. The cubic root of 3715334028 is about 1548.8140811504.

The spelling of 3715334028 in words is "three billion, seven hundred fifteen million, three hundred thirty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 397 756 794 1191 1588 2382 2779 3573 4764 5558 7146 8337 10719 11116 12379 14292 16674 21438 24758 25011 33348 37137 42876 49516 50022 74274 75033 86653 100044 111411 148548 150066 173306 222822 259959 300132 334233 346612 445644 519918 668466 779877 1039836 1336932 1559754 2339631 3119508 4679262 4914463 9358524 9828926 14743389 19657852 29486778 34401241 44230167 58973556 68802482 88460334 103203723 132690501 137604964 176920668 206407446 265381002 309611169 412814892 530762004 619222338 928833507 1238444676 1857667014 3715334028