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3434102010 = 2325101377789
BaseRepresentation
bin1100110010110000…
…0011110011111010
322212022212110100100
43030230003303322
524013112231020
61324432420230
7151046246133
oct31454036372
98768773310
103434102010
111502508739
127ba0a7676
13429605c31
14248126c8a
15151741a90
hexccb03cfa

3434102010 has 48 divisors (see below), whose sum is σ = 9017091720. Its totient is φ = 906691200.

The previous prime is 3434101999. The next prime is 3434102011. The reversal of 3434102010 is 102014343.

It can be written as a sum of positive squares in 4 ways, for example, as 3320871129 + 113230881 = 57627^2 + 10641^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3434102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179805 + ... + 197984.

Almost surely, 23434102010 is an apocalyptic number.

3434102010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3434102010 is an abundant number, since it is smaller than the sum of its proper divisors (5582989710).

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

3434102010 is a wasteful number, since it uses less digits than its factorization.

3434102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377903 (or 377900 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3434102010 is about 58601.2116768928. The cubic root of 3434102010 is about 1508.7052348585.

Adding to 3434102010 its reverse (102014343), we get a palindrome (3536116353).

The spelling of 3434102010 in words is "three billion, four hundred thirty-four million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 377789 755578 1133367 1888945 2266734 3400101 3777890 5666835 6800202 11333670 17000505 34001010 38156689 76313378 114470067 190783445 228940134 343410201 381566890 572350335 686820402 1144700670 1717051005 3434102010