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3014400444 = 2231131736657
BaseRepresentation
bin1011001110101100…
…0001100110111100
321210002010102000220
42303223001212330
522133141303234
61215041021340
7134461660326
oct26353014674
97702112026
103014400444
111307606740
12701624850
13390687003
142084b4616
1512998aa49
hexb3ac19bc

3014400444 has 48 divisors (see below), whose sum is σ = 7920546816. Its totient is φ = 883987200.

The previous prime is 3014400443. The next prime is 3014400481. The reversal of 3014400444 is 4440044103.

It is a super-2 number, since 2×30144004442 = 18173220073574794272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3014400443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364237 + ... + 372420.

It is an arithmetic number, because the mean of its divisors is an integer number (165011392).

Almost surely, 23014400444 is an apocalyptic number.

It is an amenable number.

3014400444 is an abundant number, since it is smaller than the sum of its proper divisors (4906146372).

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

3014400444 is a wasteful number, since it uses less digits than its factorization.

3014400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736706 (or 736704 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3014400444 is about 54903.5558411293. Note that the first 3 decimals coincide. The cubic root of 3014400444 is about 1444.5535581996.

Adding to 3014400444 its reverse (4440044103), we get a palindrome (7454444547).

The spelling of 3014400444 in words is "three billion, fourteen million, four hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 736657 1473314 2209971 2946628 4419942 8103227 8839884 16206454 22836367 24309681 32412908 45672734 48619362 68509101 91345468 97238724 137018202 251200037 274036404 502400074 753600111 1004800148 1507200222 3014400444