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3721244004 = 223433892
BaseRepresentation
bin1101110111001101…
…1010110101100100
3100121100011210010000
43131303122311210
530110114302004
61413131101300
7161134023612
oct33563326544
910540153100
103721244004
11163a5aa775
1287a2a1830
13473c5133a
142743106b2
1516ba60c39
hexddcdad64

3721244004 has 45 divisors (see below), whose sum is σ = 9730938217. Its totient is φ = 1240048656.

The previous prime is 3721243973. The next prime is 3721244017. The reversal of 3721244004 is 4004421273.

The square root of 3721244004 is 61002.

It is a perfect power (a square), and thus also a powerful number.

3721244004 is a `hidden beast` number, since 3 + 7 + 212 + 440 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3612250404 + 108993600 = 60102^2 + 10440^2 .

It is a super-3 number, since 3×37212440043 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1096342 + ... + 1099730.

Almost surely, 23721244004 is an apocalyptic number.

3721244004 is the 61002-nd square number.

It is an amenable number.

3721244004 is an abundant number, since it is smaller than the sum of its proper divisors (6009694213).

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

3721244004 is an frugal number, since it uses more digits than its factorization.

3721244004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6794 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The cubic root of 3721244004 is about 1549.6348781323.

Adding to 3721244004 its reverse (4004421273), we get a palindrome (7725665277).

The spelling of 3721244004 in words is "three billion, seven hundred twenty-one million, two hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 3389 6778 10167 13556 20334 30501 40668 61002 91503 122004 183006 274509 366012 549018 1098036 11485321 22970642 34455963 45941284 68911926 103367889 137823852 206735778 310103667 413471556 620207334 930311001 1240414668 1860622002 3721244004