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4342674672 = 243277160679
BaseRepresentation
bin1000000101101011…
…11111010011110000
3102012122111201201200
410002311333103300
532343211042142
61554530331200
7212421061050
oct40265772360
912178451650
104342674672
111929365836
12a12429b00
135429115ab
142d2a75560
151a63b364c
hex102d7f4f0

4342674672 has 120 divisors (see below), whose sum is σ = 14085527040. Its totient is φ = 1223268480.

The previous prime is 4342674593. The next prime is 4342674697. The reversal of 4342674672 is 2764762434.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41229 + ... + 101907.

It is an arithmetic number, because the mean of its divisors is an integer number (117379392).

Almost surely, 24342674672 is an apocalyptic number.

4342674672 is a gapful number since it is divisible by the number (42) 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 4342674672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7042763520).

4342674672 is an abundant number, since it is smaller than the sum of its proper divisors (9742852368).

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

4342674672 is a wasteful number, since it uses less digits than its factorization.

4342674672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60771 (or 60762 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The square root of 4342674672 is about 65898.9732241710. The cubic root of 4342674672 is about 1631.4950679855.

The spelling of 4342674672 in words is "four billion, three hundred forty-two million, six hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1988 2556 2982 3408 3976 4473 5112 5964 7952 8946 10224 11928 17892 23856 35784 60679 71568 121358 182037 242716 364074 424753 485432 546111 728148 849506 970864 1092222 1274259 1456296 1699012 2184444 2548518 2912592 3398024 3822777 4308209 4368888 5097036 6796048 7645554 8616418 8737776 10194072 12924627 15291108 17232836 20388144 25849254 30157463 30582216 34465672 38773881 51698508 60314926 61164432 68931344 77547762 90472389 103397016 120629852 155095524 180944778 206794032 241259704 271417167 310191048 361889556 482519408 542834334 620382096 723779112 1085668668 1447558224 2171337336 4342674672