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3409782930 = 232537886477
BaseRepresentation
bin1100101100111101…
…0010100010010010
322210122002220211200
43023033102202102
523440401023210
61322203252030
7150332451051
oct31317224222
98718086750
103409782930
11149a808424
127b1b1a016
1342456c948
14244bd6398
1514e53b0c0
hexcb3d2892

3409782930 has 24 divisors (see below), whose sum is σ = 8865435852. Its totient is φ = 909275424.

The previous prime is 3409782923. The next prime is 3409782953. The reversal of 3409782930 is 392879043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3386192481 + 23590449 = 58191^2 + 4857^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18943149 + ... + 18943328.

Almost surely, 23409782930 is an apocalyptic number.

3409782930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3409782930 is an abundant number, since it is smaller than the sum of its proper divisors (5455652922).

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

3409782930 is a wasteful number, since it uses less digits than its factorization.

3409782930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37886490 (or 37886487 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3409782930 is about 58393.3466244229. The cubic root of 3409782930 is about 1505.1354248765.

The spelling of 3409782930 in words is "three billion, four hundred nine million, seven hundred eighty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 37886477 75772954 113659431 189432385 227318862 340978293 378864770 568297155 681956586 1136594310 1704891465 3409782930