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2044342120 = 2352331431667
BaseRepresentation
bin111100111011010…
…0010111101101000
312021110210100011211
41321312202331220
513141322421440
6534505202504
7101442423052
oct17166427550
95243710154
102044342120
11959a83547
12490790434
132677013c2
1415571c8d2
15be720eea
hex79da2f68

2044342120 has 128 divisors (see below), whose sum is σ = 5072855040. Its totient is φ = 738904320.

The previous prime is 2044342117. The next prime is 2044342147. The reversal of 2044342120 is 212434402.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2044342091 and 2044342100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225527 + ... + 1227193.

It is an arithmetic number, because the mean of its divisors is an integer number (39631680).

Almost surely, 22044342120 is an apocalyptic number.

2044342120 is a gapful number since it is divisible by the number (20) 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 2044342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536427520).

2044342120 is an abundant number, since it is smaller than the sum of its proper divisors (3028512920).

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

2044342120 is a wasteful number, since it uses less digits than its factorization.

2044342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2044342120 is about 45214.4016879578. The cubic root of 2044342120 is about 1269.1643333774.

Adding to 2044342120 its reverse (212434402), we get a palindrome (2256776522).

The spelling of 2044342120 in words is "two billion, forty-four million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 43 46 62 86 92 115 124 155 172 184 215 230 248 310 344 430 460 620 713 860 920 989 1240 1333 1426 1667 1720 1978 2666 2852 3334 3565 3956 4945 5332 5704 6665 6668 7130 7912 8335 9890 10664 13330 13336 14260 16670 19780 26660 28520 30659 33340 38341 39560 51677 53320 61318 66680 71681 76682 103354 122636 143362 153295 153364 191705 206708 245272 258385 286724 306590 306728 358405 383410 413416 516770 573448 613180 716810 766820 1033540 1188571 1226360 1433620 1533640 1648663 2067080 2222111 2377142 2867240 3297326 4444222 4754284 5942855 6594652 8243315 8888444 9508568 11110555 11885710 13189304 16486630 17776888 22221110 23771420 32973260 44442220 47542840 51108553 65946520 88884440 102217106 204434212 255542765 408868424 511085530 1022171060 2044342120