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3444163320 = 23351313011697
BaseRepresentation
bin1100110101001001…
…1100001011111000
322220000210121212110
43031102130023320
524023201211240
61325432212320
7151230622323
oct31522341370
98800717773
103444163320
11150815a974
1280153a0a0
1342b719680
142495c57ba
1515257cc80
hexcd49c2f8

3444163320 has 128 divisors (see below), whose sum is σ = 11142411840. Its totient is φ = 846643200.

The previous prime is 3444163301. The next prime is 3444163351. The reversal of 3444163320 is 233614443.

3444163320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028712 + ... + 2030408.

Almost surely, 23444163320 is an apocalyptic number.

3444163320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444163320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571205920).

3444163320 is an abundant number, since it is smaller than the sum of its proper divisors (7698248520).

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

3444163320 is a wasteful number, since it uses less digits than its factorization.

3444163320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3444163320 is about 58686.9944706662. The cubic root of 3444163320 is about 1510.1772111947.

Adding to 3444163320 its reverse (233614443), we get a palindrome (3677777763).

The spelling of 3444163320 in words is "three billion, four hundred forty-four million, one hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1301 1560 1697 2602 3394 3903 5091 5204 6505 6788 7806 8485 10182 10408 13010 13576 15612 16913 16970 19515 20364 22061 25455 26020 31224 33826 33940 39030 40728 44122 50739 50910 52040 66183 67652 67880 78060 84565 88244 101478 101820 110305 132366 135304 156120 169130 176488 202956 203640 220610 253695 264732 330915 338260 405912 441220 507390 529464 661830 676520 882440 1014780 1323660 2029560 2207797 2647320 4415594 6623391 8831188 11038985 13246782 17662376 22077970 26493564 28701361 33116955 44155940 52987128 57402722 66233910 86104083 88311880 114805444 132467820 143506805 172208166 229610888 264935640 287013610 344416332 430520415 574027220 688832664 861040830 1148054440 1722081660 3444163320