Search a number
-
+
3644199420 = 2235317326839
BaseRepresentation
bin1101100100110110…
…0001000111111100
3100101222012111210220
43121031201013330
524430403340140
61401335501340
7156210120051
oct33115410774
910358174726
103644199420
111600067a64
12858527850
13460cb7224
14267db7028
15164de2bd0
hexd93611fc

3644199420 has 96 divisors (see below), whose sum is σ = 10677596160. Its totient is φ = 927521280.

The previous prime is 3644199409. The next prime is 3644199443. The reversal of 3644199420 is 249914463.

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 31 ways as a sum of consecutive naturals, for example, 122361 + ... + 149199.

It is an arithmetic number, because the mean of its divisors is an integer number (111224960).

Almost surely, 23644199420 is an apocalyptic number.

3644199420 is a gapful number since it is divisible by the number (30) 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 3644199420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338798080).

3644199420 is an abundant number, since it is smaller than the sum of its proper divisors (7033396740).

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

3644199420 is a wasteful number, since it uses less digits than its factorization.

3644199420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26955 (or 26953 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3644199420 is about 60367.2048383889. The cubic root of 3644199420 is about 1538.8656711216.

The spelling of 3644199420 in words is "three billion, six hundred forty-four million, one hundred ninety-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 73 93 124 146 155 186 219 292 310 365 372 438 465 620 730 876 930 1095 1460 1860 2190 2263 4380 4526 6789 9052 11315 13578 22630 26839 27156 33945 45260 53678 67890 80517 107356 134195 135780 161034 268390 322068 402585 536780 805170 832009 1610340 1664018 1959247 2496027 3328036 3918494 4160045 4992054 5877741 7836988 8320090 9796235 9984108 11755482 12480135 16640180 19592470 23510964 24960270 29388705 39184940 49920540 58777410 60736657 117554820 121473314 182209971 242946628 303683285 364419942 607366570 728839884 911049855 1214733140 1822099710 3644199420