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1674002064 = 243726918521
BaseRepresentation
bin110001111000111…
…0011111010010000
311022122221010010110
41203301303322100
511412021031224
6434035401320
756324532330
oct14361637220
94278833113
101674002064
11789a26589
123a8753240
13208a76087
1411c4790c0
159be6a929
hex63c73e90

1674002064 has 80 divisors (see below), whose sum is σ = 4960932480. Its totient is φ = 476482560.

The previous prime is 1674002059. The next prime is 1674002069. The reversal of 1674002064 is 4602004761.

It is an interprime number because it is at equal distance from previous prime (1674002059) and next prime (1674002069).

It is not an unprimeable number, because it can be changed into a prime (1674002069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81124 + ... + 99644.

It is an arithmetic number, because the mean of its divisors is an integer number (62011656).

Almost surely, 21674002064 is an apocalyptic number.

1674002064 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 1674002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480466240).

1674002064 is an abundant number, since it is smaller than the sum of its proper divisors (3286930416).

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

1674002064 is a wasteful number, since it uses less digits than its factorization.

1674002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18808 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1674002064 is about 40914.5703142536. The cubic root of 1674002064 is about 1187.3679709020.

The spelling of 1674002064 in words is "one billion, six hundred seventy-four million, two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 269 336 538 807 1076 1614 1883 2152 3228 3766 4304 5649 6456 7532 11298 12912 15064 18521 22596 30128 37042 45192 55563 74084 90384 111126 129647 148168 222252 259294 296336 388941 444504 518588 777882 889008 1037176 1555764 2074352 3111528 4982149 6223056 9964298 14946447 19928596 29892894 34875043 39857192 59785788 69750086 79714384 104625129 119571576 139500172 209250258 239143152 279000344 418500516 558000688 837001032 1674002064