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3407634930 = 235722318119
BaseRepresentation
bin1100101100011100…
…0110000111110010
322210111001210100010
43023013012013302
523434323304210
61322045235350
7150305263500
oct31307060762
98714053303
103407634930
111499580617
127b1262b56
13423c9a03b
142447d7670
1514e264920
hexcb1c61f2

3407634930 has 48 divisors (see below), whose sum is σ = 9513564480. Its totient is φ = 778887648.

The previous prime is 3407634899. The next prime is 3407634973. The reversal of 3407634930 is 394367043.

3407634930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34076349302 = 23223951632312209800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157590 + ... + 1160529.

It is an arithmetic number, because the mean of its divisors is an integer number (198199260).

Almost surely, 23407634930 is an apocalyptic number.

3407634930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3407634930 is an abundant number, since it is smaller than the sum of its proper divisors (6105929550).

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

3407634930 is a wasteful number, since it uses less digits than its factorization.

3407634930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318143 (or 2318136 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The square root of 3407634930 is about 58374.9512205364. The cubic root of 3407634930 is about 1504.8193040675.

It can be divided in two parts, 34076 and 34930, that added together give a triangular number (69006 = T371).

The spelling of 3407634930 in words is "three billion, four hundred seven million, six hundred thirty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 2318119 4636238 6954357 11590595 13908714 16226833 23181190 32453666 34771785 48680499 69543570 81134165 97360998 113587831 162268330 227175662 243402495 340763493 486804990 567939155 681526986 1135878310 1703817465 3407634930