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3706733340 = 223452288107
BaseRepresentation
bin1101110011110000…
…0100001100011100
3100120022212120020000
43130330010030130
530042410431330
61411452054300
7160566466512
oct33474041434
910508776200
103706733340
111632399692
12875464390
13470c4064b
142724144b2
1516a646560
hexdcf0431c

3706733340 has 60 divisors (see below), whose sum is σ = 11628164856. Its totient is φ = 988461792.

The previous prime is 3706733299. The next prime is 3706733341. The reversal of 3706733340 is 433376073.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3706733295 and 3706733304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706733341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1142434 + ... + 1145673.

Almost surely, 23706733340 is an apocalyptic number.

3706733340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3706733340 is an abundant number, since it is smaller than the sum of its proper divisors (7921431516).

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

3706733340 is a wasteful number, since it uses less digits than its factorization.

3706733340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288128 (or 2288117 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 36.

The square root of 3706733340 is about 60882.9478589859. The cubic root of 3706733340 is about 1547.6180326732.

It can be divided in two parts, 3706733 and 340, that added together give a palindrome (3707073).

The spelling of 3706733340 in words is "three billion, seven hundred six million, seven hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2288107 4576214 6864321 9152428 11440535 13728642 20592963 22881070 27457284 34321605 41185926 45762140 61778889 68643210 82371852 102964815 123557778 137286420 185336667 205929630 247115556 308894445 370673334 411859260 617788890 741346668 926683335 1235577780 1853366670 3706733340