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1677341328 = 2431314231889
BaseRepresentation
bin110001111111010…
…0011001010010000
311022220012202201220
41203332203022100
511413344410303
6434235125040
756365110645
oct14376431220
94286182656
101677341328
117908a7403
123a98a3780
13209674c80
1411caa7dcc
159c3ca053
hex63fa3290

1677341328 has 80 divisors (see below), whose sum is σ = 4672200960. Its totient is φ = 515469312.

The previous prime is 1677341317. The next prime is 1677341333. The reversal of 1677341328 is 8231437761.

It is a self number, because there is not a number n which added to its sum of digits gives 1677341328.

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, 887008 + ... + 888896.

It is an arithmetic number, because the mean of its divisors is an integer number (58402512).

Almost surely, 21677341328 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 1677341328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336100480).

1677341328 is an abundant number, since it is smaller than the sum of its proper divisors (2994859632).

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

1677341328 is a wasteful number, since it uses less digits than its factorization.

1677341328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3330 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 1677341328 is about 40955.3577447445. The cubic root of 1677341328 is about 1188.1569587082.

The spelling of 1677341328 in words is "one billion, six hundred seventy-seven million, three hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1423 1889 2846 3778 4269 5667 5692 7556 8538 11334 11384 15112 17076 18499 22668 22768 24557 30224 34152 36998 45336 49114 55497 68304 73671 73996 90672 98228 110994 147342 147992 196456 221988 294684 295984 392912 443976 589368 887952 1178736 2688047 5376094 8064141 10752188 16128282 21504376 32256564 34944611 43008752 64513128 69889222 104833833 129026256 139778444 209667666 279556888 419335332 559113776 838670664 1677341328