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3444004440 = 233353188893
BaseRepresentation
bin1100110101000111…
…0101011001011000
322220000111112221000
43031101311121120
524023131120230
61325424545000
7151226361162
oct31521653130
98800445830
103444004440
111508061568
12801482160
1342b692266
14249583932
1515254ab60
hexcd475658

3444004440 has 64 divisors (see below), whose sum is σ = 11480018400. Its totient is φ = 918400896.

The previous prime is 3444004423. The next prime is 3444004507. The reversal of 3444004440 is 444004443.

3444004440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34440044402 = 23722333165479427200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1593367 + ... + 1595526.

Almost surely, 23444004440 is an apocalyptic number.

3444004440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3444004440 is an abundant number, since it is smaller than the sum of its proper divisors (8036013960).

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

3444004440 is a wasteful number, since it uses less digits than its factorization.

3444004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188913 (or 3188903 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 3444004440 is about 58685.6408331714. The cubic root of 3444004440 is about 1510.1539892370.

Adding to 3444004440 its reverse (444004443), we get a palindrome (3888008883).

The spelling of 3444004440 in words is "three billion, four hundred forty-four million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3188893 6377786 9566679 12755572 15944465 19133358 25511144 28700037 31888930 38266716 47833395 57400074 63777860 76533432 86100111 95666790 114800148 127555720 143500185 172200222 191333580 229600296 287000370 344400444 382667160 430500555 574000740 688800888 861001110 1148001480 1722002220 3444004440