Search a number
-
+
3444241620 = 22351972111381
BaseRepresentation
bin1100110101001010…
…1111010011010100
322220000221121021110
43031102233103110
524023211212440
61325434015020
7151231366521
oct31522572324
98800847243
103444241620
111508203786
12801577470
1342b7461c1
14249606148
15152596080
hexcd4af4d4

3444241620 has 96 divisors (see below), whose sum is σ = 9745819776. Its totient is φ = 908812800.

The previous prime is 3444241609. The next prime is 3444241627. The reversal of 3444241620 is 261424443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444241627) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2493330 + ... + 2494710.

It is an arithmetic number, because the mean of its divisors is an integer number (101518956).

Almost surely, 23444241620 is an apocalyptic number.

3444241620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3444241620 is an abundant number, since it is smaller than the sum of its proper divisors (6301578156).

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

3444241620 is a wasteful number, since it uses less digits than its factorization.

3444241620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 3444241620 is about 58687.6615652728. The cubic root of 3444241620 is about 1510.1886552881.

The spelling of 3444241620 in words is "three billion, four hundred forty-four million, two hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 211 394 422 591 633 788 844 985 1055 1182 1266 1381 1970 2110 2364 2532 2762 2955 3165 3940 4143 4220 5524 5910 6330 6905 8286 11820 12660 13810 16572 20715 27620 41430 41567 82860 83134 124701 166268 207835 249402 272057 291391 415670 498804 544114 582782 623505 816171 831340 874173 1088228 1165564 1247010 1360285 1456955 1632342 1748346 2494020 2720570 2913910 3264684 3496692 4080855 4370865 5441140 5827820 8161710 8741730 16323420 17483460 57404027 114808054 172212081 229616108 287020135 344424162 574040270 688848324 861060405 1148080540 1722120810 3444241620