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3418334540 = 2253712736373
BaseRepresentation
bin1100101110111111…
…1010010101001100
322211020012101102222
43023233322111030
524000043201130
61323110434512
7150465235625
oct31357722514
98736171388
103418334540
1114a4619375
127b4962a38
1342627517a
14245dc0a4c
15150179ce5
hexcbbfa54c

3418334540 has 48 divisors (see below), whose sum is σ = 7430771712. Its totient is φ = 1319867136.

The previous prime is 3418334537. The next prime is 3418334609. The reversal of 3418334540 is 454338143.

It is a super-2 number, since 2×34183345402 = 23370022054714023200, 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 3418334540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75794 + ... + 112166.

It is an arithmetic number, because the mean of its divisors is an integer number (154807744).

Almost surely, 23418334540 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 3418334540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715385856).

3418334540 is an abundant number, since it is smaller than the sum of its proper divisors (4012437172).

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

3418334540 is a wasteful number, since it uses less digits than its factorization.

3418334540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36546 (or 36544 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 3418334540 is about 58466.5249523178. The cubic root of 3418334540 is about 1506.3926491737.

The spelling of 3418334540 in words is "three billion, four hundred eighteen million, three hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 127 148 185 254 370 508 635 740 1270 2540 4699 9398 18796 23495 36373 46990 72746 93980 145492 181865 363730 727460 1345801 2691602 4619371 5383204 6729005 9238742 13458010 18477484 23096855 26916020 46193710 92387420 170916727 341833454 683666908 854583635 1709167270 3418334540