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674020608 = 2834771263
BaseRepresentation
bin101000001011001…
…011110100000000
31201222021210110020
4220023023310000
52340022124413
6150514333440
722463036442
oct5013136400
91658253406
10674020608
11316515728
1216988a280
13a9844481
1465734492
153e28ec23
hex282cbd00

674020608 has 144 divisors (see below), whose sum is σ = 1864912896. Its totient is φ = 215971840.

The previous prime is 674020597. The next prime is 674020609. The reversal of 674020608 is 806020476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674020609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2562685 + ... + 2562947.

It is an arithmetic number, because the mean of its divisors is an integer number (12950784).

Almost surely, 2674020608 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 674020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932456448).

674020608 is an abundant number, since it is smaller than the sum of its proper divisors (1190892288).

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

674020608 is a wasteful number, since it uses less digits than its factorization.

674020608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 674020608 is about 25961.9068637109. The cubic root of 674020608 is about 876.7808554258.

The spelling of 674020608 in words is "six hundred seventy-four million, twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 71 94 96 128 141 142 188 192 213 256 263 282 284 376 384 426 526 564 568 752 768 789 852 1052 1128 1136 1504 1578 1704 2104 2256 2272 3008 3156 3337 3408 4208 4512 4544 6016 6312 6674 6816 8416 9024 9088 10011 12032 12361 12624 13348 13632 16832 18048 18176 18673 20022 24722 25248 26696 27264 33664 36096 37083 37346 40044 49444 50496 53392 54528 56019 67328 74166 74692 80088 98888 100992 106784 112038 148332 149384 160176 197776 201984 213568 224076 296664 298768 320352 395552 427136 448152 593328 597536 640704 791104 854272 877631 896304 1186656 1195072 1281408 1582208 1755262 1792608 2373312 2390144 2562816 2632893 3164416 3510524 3585216 4746624 4780288 5265786 7021048 7170432 9493248 10531572 14042096 14340864 21063144 28084192 42126288 56168384 84252576 112336768 168505152 224673536 337010304 674020608