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3674232072 = 2332721041449
BaseRepresentation
bin1101101100000000…
…0101010100001000
3100111001201022212100
43123000011110020
530011100411242
61404331313400
7160023312600
oct33300052410
910431638770
103674232072
11161600aa35
128665ab860
134672a1024
1426bd93c00
1516787654c
hexdb005508

3674232072 has 72 divisors (see below), whose sum is σ = 11575716750. Its totient is φ = 1049779584.

The previous prime is 3674232031. The next prime is 3674232091. The reversal of 3674232072 is 2702324763.

It can be written as a sum of positive squares in only one way, i.e., 2967416676 + 706815396 = 54474^2 + 26586^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 517197 + ... + 524252.

Almost surely, 23674232072 is an apocalyptic number.

It is an amenable number.

3674232072 is an abundant number, since it is smaller than the sum of its proper divisors (7901484678).

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

3674232072 is a wasteful number, since it uses less digits than its factorization.

3674232072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041475 (or 1041461 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3674232072 is about 60615.4441706072. Note that the first 3 decimals coincide. The cubic root of 3674232072 is about 1543.0814883348.

The spelling of 3674232072 in words is "three billion, six hundred seventy-four million, two hundred thirty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 1041449 2082898 3124347 4165796 6248694 7290143 8331592 9373041 12497388 14580286 18746082 21870429 24994776 29160572 37492164 43740858 51031001 58321144 65611287 74984328 87481716 102062002 131222574 153093003 174963432 204124004 262445148 306186006 408248008 459279009 524890296 612372012 918558018 1224744024 1837116036 3674232072