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3407303120 = 245133276253
BaseRepresentation
bin1100101100010111…
…0101000111010000
322210110102221011212
43023011311013100
523434232144440
61322034155252
7150302412224
oct31305650720
98713387155
103407303120
1114993742a1
127b1122b28
13423bb1cc0
1424474c784
1514e1eb465
hexcb1751d0

3407303120 has 40 divisors (see below), whose sum is σ = 8531365416. Its totient is φ = 1258080768.

The previous prime is 3407303111. The next prime is 3407303131. The reversal of 3407303120 is 213037043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 109327936 + 3297975184 = 10456^2 + 57428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1637087 + ... + 1639166.

Almost surely, 23407303120 is an apocalyptic number.

It is an amenable number.

3407303120 is an abundant number, since it is smaller than the sum of its proper divisors (5124062296).

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

3407303120 is a wasteful number, since it uses less digits than its factorization.

3407303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276279 (or 3276273 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 3407303120 is about 58372.1090932990. The cubic root of 3407303120 is about 1504.7704597996.

The spelling of 3407303120 in words is "three billion, four hundred seven million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3276253 6552506 13105012 16381265 26210024 32762530 42591289 52420048 65525060 85182578 131050120 170365156 212956445 262100240 340730312 425912890 681460624 851825780 1703651560 3407303120