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44321970 = 23572112741
BaseRepresentation
bin1010100100010…
…0110010110010
310002101210022110
42221010302302
542321300340
64221550150
71045505400
oct251046262
9102353273
1044321970
1123022830
1212a15356
13924ab24
145c5a470
153d57680
hex2a44cb2

44321970 has 96 divisors (see below), whose sum is σ = 135038016. Its totient is φ = 9206400.

The previous prime is 44321969. The next prime is 44321983. The reversal of 44321970 is 7912344.

44321970 = T105 + T106 + ... + T643.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14800 + ... + 17540.

It is an arithmetic number, because the mean of its divisors is an integer number (1406646).

Almost surely, 244321970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44321970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67519008).

44321970 is an abundant number, since it is smaller than the sum of its proper divisors (90716046).

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

44321970 is a wasteful number, since it uses less digits than its factorization.

44321970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 44321970 is about 6657.4747464786. The cubic root of 44321970 is about 353.8938524352.

The spelling of 44321970 in words is "forty-four million, three hundred twenty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 2741 3234 5390 5482 8085 8223 13705 16170 16446 19187 27410 30151 38374 41115 57561 60302 82230 90453 95935 115122 134309 150755 180906 191870 211057 268618 287805 301510 402927 422114 452265 575610 633171 671545 805854 904530 1055285 1266342 1343090 1477399 2014635 2110570 2954798 3165855 4029270 4432197 6331710 7386995 8864394 14773990 22160985 44321970