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1201034340 = 22325111075669
BaseRepresentation
bin100011110010110…
…0101010001100100
310002200221212101100
41013211211101210
54424431044330
6315102200100
741522423562
oct10745452144
93080855340
101201034340
11566a52970
12296283030
13161a9720c
14b571ca32
1570692060
hex47965464

1201034340 has 144 divisors (see below), whose sum is σ = 4012182720. Its totient is φ = 288387840.

The previous prime is 1201034339. The next prime is 1201034353. The reversal of 1201034340 is 434301021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209026 + ... + 214694.

It is an arithmetic number, because the mean of its divisors is an integer number (27862380).

Almost surely, 21201034340 is an apocalyptic number.

1201034340 is a gapful number since it is divisible by the number (10) 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 1201034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006091360).

1201034340 is an abundant number, since it is smaller than the sum of its proper divisors (2811148380).

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

1201034340 is a wasteful number, since it uses less digits than its factorization.

1201034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5802 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1201034340 is about 34655.9423475975. The cubic root of 1201034340 is about 1062.9638010191.

Adding to 1201034340 its reverse (434301021), we get a palindrome (1635335361).

The spelling of 1201034340 in words is "one billion, two hundred one million, thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 107 110 132 165 180 198 214 220 321 330 396 428 495 535 642 660 963 990 1070 1177 1284 1605 1926 1980 2140 2354 3210 3531 3852 4708 4815 5669 5885 6420 7062 9630 10593 11338 11770 14124 17007 17655 19260 21186 22676 23540 28345 34014 35310 42372 51021 52965 56690 62359 68028 70620 85035 102042 105930 113380 124718 170070 187077 204084 211860 249436 255105 311795 340140 374154 510210 561231 606583 623590 748308 935385 1020420 1122462 1213166 1247180 1819749 1870770 2244924 2426332 2806155 3032915 3639498 3741540 5459247 5612310 6065830 6672413 7278996 9098745 10918494 11224620 12131660 13344826 18197490 20017239 21836988 26689652 27296235 33362065 36394980 40034478 54592470 60051717 66724130 80068956 100086195 109184940 120103434 133448260 200172390 240206868 300258585 400344780 600517170 1201034340