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674146000 = 24531130643
BaseRepresentation
bin101000001011101…
…010011011010000
31201222112011110101
4220023222123100
52340040133000
6150521142144
722464101143
oct5013523320
91658464411
10674146000
113165a0960
1216992a954
13a9889578
146576805a
153e2b6e6a
hex282ea6d0

674146000 has 80 divisors (see below), whose sum is σ = 1778332608. Its totient is φ = 245136000.

The previous prime is 674145991. The next prime is 674146009. The reversal of 674146000 is 641476.

It is an interprime number because it is at equal distance from previous prime (674145991) and next prime (674146009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 674146000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674146009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6679 + ... + 37321.

Almost surely, 2674146000 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 674146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889166304).

674146000 is an abundant number, since it is smaller than the sum of its proper divisors (1104186608).

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

674146000 is a wasteful number, since it uses less digits than its factorization.

674146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30677 (or 30661 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 674146000 is about 25964.3216741744. The cubic root of 674146000 is about 876.8352229465.

Adding to 674146000 its reverse (641476), we get a palindrome (674787476).

The spelling of 674146000 in words is "six hundred seventy-four million, one hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 30643 61286 122572 153215 245144 306430 337073 490288 612860 674146 766075 1225720 1348292 1532150 1685365 2451440 2696584 3064300 3370730 3830375 5393168 6128600 6741460 7660750 8426825 12257200 13482920 15321500 16853650 26965840 30643000 33707300 42134125 61286000 67414600 84268250 134829200 168536500 337073000 674146000