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3514130564 = 227299714457
BaseRepresentation
bin1101000101110101…
…0110000010000100
3100001220110022212212
43101131112002010
524144104134224
61340412002552
7153040421420
oct32135260204
910056408785
103514130564
1115436a933a
12820a60458
134400762c9
142549d9b80
1515879dd0e
hexd1756084

3514130564 has 48 divisors (see below), whose sum is σ = 7279735680. Its totient is φ = 1452299520.

The previous prime is 3514130551. The next prime is 3514130567. The reversal of 3514130564 is 4650314153.

It is a super-2 number, since 2×35141305642 = 24698227241677916192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3514130564.

It is not an unprimeable number, because it can be changed into a prime (3514130567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 786224 + ... + 790680.

It is an arithmetic number, because the mean of its divisors is an integer number (151661160).

Almost surely, 23514130564 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 3514130564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639867840).

3514130564 is an abundant number, since it is smaller than the sum of its proper divisors (3765605116).

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

3514130564 is a wasteful number, since it uses less digits than its factorization.

3514130564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 3514130564 is about 59280.1025977520. The cubic root of 3514130564 is about 1520.3350144524.

The spelling of 3514130564 in words is "three billion, five hundred fourteen million, one hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 971 1942 3884 4457 6797 8914 13594 17828 27188 28159 31199 56318 62398 112636 124796 129253 197113 258506 394226 517012 788452 904771 1809542 3619084 4327747 8655494 17310988 30294229 60588458 121176916 125504663 251009326 502018652 878532641 1757065282 3514130564