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1681340304 = 2437311511069
BaseRepresentation
bin110010000110111…
…0011011110010000
311100011201221022010
41210031303132100
511420410342204
6434500542520
756444104530
oct14415633620
94304657263
101681340304
11793088946
123ab0b1a40
1320a445227
1411d4294c0
159c919d89
hex64373790

1681340304 has 160 divisors (see below), whose sum is σ = 5162844160. Its totient is φ = 461376000.

The previous prime is 1681340303. The next prime is 1681340357. The reversal of 1681340304 is 4030431861.

It is not an unprimeable number, because it can be changed into a prime (1681340303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572282 + ... + 1573350.

It is an arithmetic number, because the mean of its divisors is an integer number (32267776).

Almost surely, 21681340304 is an apocalyptic number.

1681340304 is a gapful number since it is divisible by the number (14) 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 1681340304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581422080).

1681340304 is an abundant number, since it is smaller than the sum of its proper divisors (3481503856).

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

1681340304 is a wasteful number, since it uses less digits than its factorization.

1681340304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1681340304 is about 41004.1498387663. The cubic root of 1681340304 is about 1189.1004439140.

The spelling of 1681340304 in words is "one billion, six hundred eighty-one million, three hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 151 168 186 217 248 302 336 372 434 453 496 604 651 744 868 906 1057 1069 1208 1302 1488 1736 1812 2114 2138 2416 2604 3171 3207 3472 3624 4228 4276 4681 5208 6342 6414 7248 7483 8456 8552 9362 10416 12684 12828 14043 14966 16912 17104 18724 22449 25368 25656 28086 29932 32767 33139 37448 44898 50736 51312 56172 59864 65534 66278 74896 89796 98301 99417 112344 119728 131068 132556 161419 179592 196602 198834 224688 231973 262136 265112 322838 359184 393204 397668 463946 484257 524272 530224 645676 695919 786408 795336 927892 968514 1129933 1291352 1391838 1572816 1590672 1855784 1937028 2259866 2582704 2783676 3389799 3711568 3874056 4519732 5003989 5567352 6779598 7748112 9039464 10007978 11134704 13559196 15011967 18078928 20015956 27118392 30023934 35027923 40031912 54236784 60047868 70055846 80063824 105083769 120095736 140111692 210167538 240191472 280223384 420335076 560446768 840670152 1681340304