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34445004220 = 22511375379841
BaseRepresentation
bin100000000101000101…
…010000110110111100
310021220112100111212001
4200011011100312330
51031020410113340
623453535552044
72326402463554
oct400505206674
9107815314761
1034445004220
1113676341540
12681368b624
13332c254603
14194a91a164
15d68ea229a
hex805150dbc

34445004220 has 96 divisors (see below), whose sum is σ = 82573235136. Its totient is φ = 11956838400.

The previous prime is 34445004197. The next prime is 34445004227. The reversal of 34445004220 is 2240054443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34445004227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391500 + ... + 471340.

It is an arithmetic number, because the mean of its divisors is an integer number (860137866).

Almost surely, 234445004220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34445004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41286617568).

34445004220 is an abundant number, since it is smaller than the sum of its proper divisors (48128230916).

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

34445004220 is a wasteful number, since it uses less digits than its factorization.

34445004220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79951 (or 79949 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 34445004220 its reverse (2240054443), we get a palindrome (36685058663).

The spelling of 34445004220 in words is "thirty-four billion, four hundred forty-five million, four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 53 55 74 106 110 148 185 212 220 265 370 407 530 583 740 814 1060 1166 1628 1961 2035 2332 2915 3922 4070 5830 7844 8140 9805 11660 19610 21571 39220 43142 79841 86284 107855 159682 215710 319364 399205 431420 798410 878251 1596820 1756502 2954117 3513004 4231573 4391255 5908234 8463146 8782510 11816468 14770585 16926292 17565020 21157865 29541170 32495287 42315730 46547303 59082340 64990574 84631460 93094606 129981148 156568201 162476435 186189212 232736515 313136402 324952870 465473030 626272804 649905740 782841005 930946060 1565682010 1722250211 3131364020 3444500422 6889000844 8611251055 17222502110 34445004220