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3418632340 = 2251773137737
BaseRepresentation
bin1100101111000100…
…0011000010010100
322211020202111221121
43023301003002110
524000132213330
61323121053324
7150500616064
oct31361030224
98736674847
103418632340
1114a4802092
127b4a87244
1342634a896
1424605b3a4
151501d817a
hexcbc43094

3418632340 has 48 divisors (see below), whose sum is σ = 7705614672. Its totient is φ = 1269374976.

The previous prime is 3418632337. The next prime is 3418632403. The reversal of 3418632340 is 432368143.

It can be written as a sum of positive squares in 8 ways, for example, as 125316 + 3418507024 = 354^2 + 58468^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 3418632296 and 3418632305.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 44049 + ... + 93688.

It is an arithmetic number, because the mean of its divisors is an integer number (160533639).

Almost surely, 23418632340 is an apocalyptic number.

It is an amenable number.

3418632340 is an abundant number, since it is smaller than the sum of its proper divisors (4286982332).

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

3418632340 is a wasteful number, since it uses less digits than its factorization.

3418632340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137836 (or 137834 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 3418632340 is about 58469.0716533109. The cubic root of 3418632340 is about 1506.4363927667.

The spelling of 3418632340 in words is "three billion, four hundred eighteen million, six hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4964 6205 12410 24820 137737 275474 550948 688685 1377370 2341529 2754740 4683058 9366116 10054801 11707645 20109602 23415290 40219204 46830580 50274005 100548010 170931617 201096020 341863234 683726468 854658085 1709316170 3418632340