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1674832016 = 241113829883
BaseRepresentation
bin110001111010011…
…1110100010010000
311022201111021121102
41203310332202100
511412224111031
6434105243532
756334560114
oct14364764220
94281437542
101674832016
1178a4430a0
123a8a935a8
13208ca6a80
1411c613744
159c0817cb
hex63d3e890

1674832016 has 80 divisors (see below), whose sum is σ = 3821213760. Its totient is φ = 701084160.

The previous prime is 1674831971. The next prime is 1674832039. The reversal of 1674832016 is 6102384761.

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, 1896311 + ... + 1897193.

It is an arithmetic number, because the mean of its divisors is an integer number (47765172).

Almost surely, 21674832016 is an apocalyptic number.

1674832016 is a gapful number since it is divisible by the number (16) 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 1674832016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910606880).

1674832016 is an abundant number, since it is smaller than the sum of its proper divisors (2146381744).

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

1674832016 is a wasteful number, since it uses less digits than its factorization.

1674832016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 1674832016 is about 40924.7115567111. The cubic root of 1674832016 is about 1187.5641665198.

The spelling of 1674832016 in words is "one billion, six hundred seventy-four million, eight hundred thirty-two thousand, sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 829 883 1144 1658 1766 2288 3316 3532 6632 7064 9119 9713 10777 11479 13264 14128 18238 19426 21554 22958 36476 38852 43108 45916 72952 77704 86216 91832 118547 126269 145904 155408 172432 183664 237094 252538 474188 505076 732007 948376 1010152 1464014 1896752 2020304 2928028 5856056 8052077 9516091 11712112 16104154 19032182 32208308 38064364 64416616 76128728 104677001 128833232 152257456 209354002 418708004 837416008 1674832016