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1682738376 = 23311101223283
BaseRepresentation
bin110010001001100…
…1000110011001000
311100021100222002120
41210103020303020
511421240112001
6434550531240
756462016534
oct14423106310
94307328076
101682738376
11793953280
123ab666b20
1320a8146a7
1411d6b0bc4
159cae4236
hex644c8cc8

1682738376 has 128 divisors (see below), whose sum is σ = 4671959040. Its totient is φ = 500832000.

The previous prime is 1682738371. The next prime is 1682738381. The reversal of 1682738376 is 6738372861.

It is an interprime number because it is at equal distance from previous prime (1682738371) and next prime (1682738381).

It is not an unprimeable number, because it can be changed into a prime (1682738371) 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, 5945931 + ... + 5946213.

It is an arithmetic number, because the mean of its divisors is an integer number (36499680).

Almost surely, 21682738376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682738376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335979520).

1682738376 is an abundant number, since it is smaller than the sum of its proper divisors (2989220664).

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

1682738376 is a wasteful number, since it uses less digits than its factorization.

1682738376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 1682738376 is about 41021.1942293249. The cubic root of 1682738376 is about 1189.4299404585.

The spelling of 1682738376 in words is "one billion, six hundred eighty-two million, seven hundred thirty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 223 264 283 303 404 446 566 606 669 808 849 892 1111 1132 1212 1338 1698 1784 2222 2264 2424 2453 2676 3113 3333 3396 4444 4906 5352 6226 6666 6792 7359 8888 9339 9812 12452 13332 14718 18678 19624 22523 24904 26664 28583 29436 37356 45046 57166 58872 63109 67569 74712 85749 90092 114332 126218 135138 171498 180184 189327 228664 247753 252436 270276 314413 342996 378654 495506 504872 540552 628826 685992 694199 743259 757308 943239 991012 1257652 1388398 1486518 1514616 1886478 1982024 2082597 2515304 2776796 2973036 3772956 4165194 5553592 5946072 6374009 7545912 8330388 12748018 16660776 19122027 25496036 38244054 50992072 70114099 76488108 140228198 152976216 210342297 280456396 420684594 560912792 841369188 1682738376