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424400020344 = 233419211163367
BaseRepresentation
bin1100010110100000011…
…01100110001101111000
31111120110011111211110000
412023100031212031320
523423132401122334
6522544445153000
742443012436366
oct6132015461570
91446404454400
10424400020344
11153a94824873
126a30285b760
13310367852c1
14167809aa636
15b08daa4299
hex62d0366378

424400020344 has 160 divisors (see below), whose sum is σ = 1257214780800. Its totient is φ = 133385071680.

The previous prime is 424400020333. The next prime is 424400020361. The reversal of 424400020344 is 443020004424.

It is a happy number.

It is a super-2 number, since 2×4244000203442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2516149 + ... + 2679515.

It is an arithmetic number, because the mean of its divisors is an integer number (7857592380).

Almost surely, 2424400020344 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 424400020344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628607390400).

424400020344 is an abundant number, since it is smaller than the sum of its proper divisors (832814760456).

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

424400020344 is a wasteful number, since it uses less digits than its factorization.

424400020344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163615 (or 163602 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 424400020344 its reverse (443020004424), we get a palindrome (867420024768).

The spelling of 424400020344 in words is "four hundred twenty-four billion, four hundred million, twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 211 216 228 324 342 422 456 513 633 648 684 844 1026 1266 1368 1539 1688 1899 2052 2532 3078 3798 4009 4104 5064 5697 6156 7596 8018 11394 12027 12312 15192 16036 17091 22788 24054 32072 34182 36081 45576 48108 68364 72162 96216 108243 136728 144324 163367 216486 288648 324729 326734 432972 490101 649458 653468 865944 980202 1298916 1306936 1470303 1960404 2597832 2940606 3103973 3920808 4410909 5881212 6207946 8821818 9311919 11762424 12415892 13232727 17643636 18623838 24831784 26465454 27935757 34470437 35287272 37247676 52930908 55871514 68940874 74495352 83807271 103411311 105861816 111743028 137881748 167614542 206822622 223486056 251421813 275763496 310233933 335229084 413645244 502843626 620467866 654938303 670458168 827290488 930701799 1005687252 1240935732 1309876606 1861403598 1964814909 2011374504 2481871464 2619753212 2792105397 3722807196 3929629818 5239506424 5584210794 5894444727 7445614392 7859259636 11168421588 11788889454 15718519272 17683334181 22336843176 23577778908 35366668362 47155557816 53050002543 70733336724 106100005086 141466673448 212200010172 424400020344