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3415431030 = 2351119952009
BaseRepresentation
bin1100101110010011…
…0101011101110110
322211000201212120120
43023210311131312
523443322243110
61322524312410
7150431453604
oct31344653566
98730655516
103415431030
1114a2a15980
127b39a2706
1342579970b
14245866874
1514eca4870
hexcb935776

3415431030 has 64 divisors (see below), whose sum is σ = 8987328000. Its totient is φ = 823806720.

The previous prime is 3415431029. The next prime is 3415431031. The reversal of 3415431030 is 301345143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3415431029) and next prime (3415431031).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3415431031) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 39666 + ... + 91674.

It is an arithmetic number, because the mean of its divisors is an integer number (140427000).

Almost surely, 23415431030 is an apocalyptic number.

3415431030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415431030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493664000).

3415431030 is an abundant number, since it is smaller than the sum of its proper divisors (5571896970).

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

3415431030 is a wasteful number, since it uses less digits than its factorization.

3415431030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52229.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3415431030 is about 58441.6891439664. The cubic root of 3415431030 is about 1505.9660218186.

Adding to 3415431030 its reverse (301345143), we get a palindrome (3716776173).

The spelling of 3415431030 in words is "three billion, four hundred fifteen million, four hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 199 330 398 597 995 1194 1990 2189 2985 4378 5970 6567 10945 13134 21890 32835 52009 65670 104018 156027 260045 312054 520090 572099 780135 1144198 1560270 1716297 2860495 3432594 5720990 8581485 10349791 17162970 20699582 31049373 51748955 62098746 103497910 113847701 155246865 227695402 310493730 341543103 569238505 683086206 1138477010 1707715515 3415431030