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1738138380 = 2235112317723
BaseRepresentation
bin110011110011001…
…1110001100001100
311111010121120121120
41213212132030030
512024430412010
6444250200540
761033634556
oct14746361414
94433546546
101738138380
11812152100
12406123150
13219140964
14126bb24d6
15a28d8e70
hex6799e30c

1738138380 has 144 divisors (see below), whose sum is σ = 5522721792. Its totient is φ = 407721600.

The previous prime is 1738138351. The next prime is 1738138387. The reversal of 1738138380 is 838318371.

1738138380 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×17381383802 = 6042250056058048800, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1738138387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221199 + ... + 228921.

Almost surely, 21738138380 is an apocalyptic number.

1738138380 is a gapful number since it is divisible by the number (10) 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 1738138380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761360896).

1738138380 is an abundant number, since it is smaller than the sum of its proper divisors (3784583412).

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

1738138380 is a wasteful number, since it uses less digits than its factorization.

1738138380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1738138380 is about 41690.9867957092. The cubic root of 1738138380 is about 1202.3422723810.

Subtracting from 1738138380 its reverse (838318371), we obtain a square (899820009 = 299972).

The spelling of 1738138380 in words is "one billion, seven hundred thirty-eight million, one hundred thirty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 220 242 310 330 341 363 372 465 484 605 620 660 682 726 930 1023 1210 1364 1452 1705 1815 1860 2046 2420 3410 3630 3751 4092 5115 6820 7260 7502 7723 10230 11253 15004 15446 18755 20460 22506 23169 30892 37510 38615 45012 46338 56265 75020 77230 84953 92676 112530 115845 154460 169906 225060 231690 239413 254859 339812 424765 463380 478826 509718 718239 849530 934483 957652 1019436 1197065 1274295 1436478 1699060 1868966 2394130 2548590 2633543 2803449 2872956 3591195 3737932 4672415 4788260 5097180 5267086 5606898 7182390 7900629 9344830 10534172 11213796 13167715 14017245 14364780 15801258 18689660 26335430 28034490 28968973 31602516 39503145 52670860 56068980 57937946 79006290 86906919 115875892 144844865 158012580 173813838 289689730 347627676 434534595 579379460 869069190 1738138380