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3434333340 = 2235371546997
BaseRepresentation
bin1100110010110011…
…1100010010011100
322212100022012200010
43030230330102130
524013142131330
61324441403220
7151051231434
oct31454742234
98770265603
103434333340
111502656519
127ba199510
13429687309
142481872c4
1515178a3b0
hexccb3c49c

3434333340 has 48 divisors (see below), whose sum is σ = 9876035232. Its totient is φ = 891069696.

The previous prime is 3434333339. The next prime is 3434333341. The reversal of 3434333340 is 433334343.

3434333340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3434333339) and next prime (3434333341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3434333298 and 3434333307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434333341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771279 + ... + 775718.

It is an arithmetic number, because the mean of its divisors is an integer number (205750734).

Almost surely, 23434333340 is an apocalyptic number.

3434333340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434333340 is an abundant number, since it is smaller than the sum of its proper divisors (6441701892).

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

3434333340 is a wasteful number, since it uses less digits than its factorization.

3434333340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547046 (or 1547044 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

The square root of 3434333340 is about 58603.1854083035. The cubic root of 3434333340 is about 1508.7391108611.

Adding to 3434333340 its reverse (433334343), we get a palindrome (3867667683).

The spelling of 3434333340 in words is "three billion, four hundred thirty-four million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 1546997 3093994 4640991 6187988 7734985 9281982 15469970 18563964 23204955 30939940 46409910 57238889 92819820 114477778 171716667 228955556 286194445 343433334 572388890 686866668 858583335 1144777780 1717166670 3434333340