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674071040 = 2951791471
BaseRepresentation
bin101000001011011…
…000001000000000
31201222101100122002
4220023120020000
52340030233130
6150515403132
722463336456
oct5013301000
91658340562
10674071040
1131654a605
121698b34a8
13a9861406
14657489d6
153e29eb45
hex282d8200

674071040 has 80 divisors (see below), whose sum is σ = 1626324480. Its totient is φ = 267939840.

The previous prime is 674071031. The next prime is 674071043. The reversal of 674071040 is 40170476.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 674070994 and 674071012.

It is not an unprimeable number, because it can be changed into a prime (674071043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457505 + ... + 458975.

It is an arithmetic number, because the mean of its divisors is an integer number (20329056).

Almost surely, 2674071040 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 674071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813162240).

674071040 is an abundant number, since it is smaller than the sum of its proper divisors (952253440).

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

674071040 is a wasteful number, since it uses less digits than its factorization.

674071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 674071040 is about 25962.8781147237. The cubic root of 674071040 is about 876.8027225660.

The spelling of 674071040 in words is "six hundred seventy-four million, seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 179 256 320 358 512 640 716 895 1280 1432 1471 1790 2560 2864 2942 3580 5728 5884 7160 7355 11456 11768 14320 14710 22912 23536 28640 29420 45824 47072 57280 58840 91648 94144 114560 117680 188288 229120 235360 263309 376576 458240 470720 526618 753152 941440 1053236 1316545 1882880 2106472 2633090 3765760 4212944 5266180 8425888 10532360 16851776 21064720 33703552 42129440 67407104 84258880 134814208 168517760 337035520 674071040