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674359040 = 2852937491
BaseRepresentation
bin101000001100011…
…110011100000000
31201222220222200202
4220030132130000
52340113442130
6150525504332
722465646225
oct5014363400
91658828622
10674359040
11316726a23
12169a120a8
13a9932524
14657c194c
153e30a145
hex2831e700

674359040 has 144 divisors (see below), whose sum is σ = 1719658080. Its totient is φ = 252887040.

The previous prime is 674359033. The next prime is 674359109. The reversal of 674359040 is 40953476.

It is a super-2 number, since 2×6743590402 = 909520229659443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 674358985 and 674359003.

It is a congruent number.

It is an unprimeable number.

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, 1373195 + ... + 1373685.

It is an arithmetic number, because the mean of its divisors is an integer number (11942070).

Almost surely, 2674359040 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 674359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859829040).

674359040 is an abundant number, since it is smaller than the sum of its proper divisors (1045299040).

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

674359040 is a wasteful number, since it uses less digits than its factorization.

674359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 674359040 is about 25968.4239028864. The cubic root of 674359040 is about 876.9275774721.

The spelling of 674359040 in words is "six hundred seventy-four million, three hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 64 74 80 116 128 145 148 160 185 232 256 290 296 320 370 464 491 580 592 640 740 928 982 1073 1160 1184 1280 1480 1856 1964 2146 2320 2368 2455 2960 3712 3928 4292 4640 4736 4910 5365 5920 7424 7856 8584 9280 9472 9820 10730 11840 14239 15712 17168 18167 18560 19640 21460 23680 28478 31424 34336 36334 37120 39280 42920 47360 56956 62848 68672 71195 72668 78560 85840 90835 113912 125696 137344 142390 145336 157120 171680 181670 227824 274688 284780 290672 314240 343360 363340 455648 526843 569560 581344 628480 686720 726680 911296 1053686 1139120 1162688 1373440 1453360 1822592 2107372 2278240 2325376 2634215 2906720 3645184 4214744 4556480 4650752 5268430 5813440 8429488 9112960 10536860 11626880 16858976 18225920 21073720 23253760 33717952 42147440 67435904 84294880 134871808 168589760 337179520 674359040