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1674349680 = 243531313719
BaseRepresentation
bin110001111001100…
…1000110001110000
311022200120202222010
41203303020301300
511412113142210
6434051042520
756330510643
oct14363106160
94280522863
101674349680
1178a143773
123a88a0440
13208b68373
1411c529a5a
159bed8920
hex63cc8c70

1674349680 has 160 divisors (see below), whose sum is σ = 5382512640. Its totient is φ = 430110720.

The previous prime is 1674349657. The next prime is 1674349717. The reversal of 1674349680 is 869434761.

It is a super-2 number, since 2×16743496802 = 5606893701832204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2328361 + ... + 2329079.

It is an arithmetic number, because the mean of its divisors is an integer number (33640704).

Almost surely, 21674349680 is an apocalyptic number.

1674349680 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 1674349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691256320).

1674349680 is an abundant number, since it is smaller than the sum of its proper divisors (3708162960).

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

1674349680 is a wasteful number, since it uses less digits than its factorization.

1674349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 1674349680 is about 40918.8181647515. The cubic root of 1674349680 is about 1187.4501531062.

The spelling of 1674349680 in words is "one billion, six hundred seventy-four million, three hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 313 372 465 496 620 626 719 744 930 939 1240 1252 1438 1488 1565 1860 1878 2157 2480 2504 2876 3130 3595 3720 3756 4314 4695 5008 5752 6260 7190 7440 7512 8628 9390 9703 10785 11504 12520 14380 15024 17256 18780 19406 21570 22289 25040 28760 29109 34512 37560 38812 43140 44578 48515 57520 58218 66867 75120 77624 86280 89156 97030 111445 116436 133734 145545 155248 172560 178312 194060 222890 225047 232872 267468 291090 334335 356624 388120 445780 450094 465744 534936 582180 668670 675141 776240 891560 900188 1069872 1125235 1164360 1337340 1350282 1783120 1800376 2250470 2328720 2674680 2700564 3375705 3600752 4500940 5349360 5401128 6751410 6976457 9001880 10802256 13502820 13952914 18003760 20929371 27005640 27905828 34882285 41858742 54011280 55811656 69764570 83717484 104646855 111623312 139529140 167434968 209293710 279058280 334869936 418587420 558116560 837174840 1674349680