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34424203632 = 24372131125857
BaseRepresentation
bin100000000011110101…
…111010100101110000
310021212002012201210220
4200003311322211300
51031000044004012
623451514053040
72326030621500
oct400365724560
9107762181726
1034424203632
1113665624775
12680871a180
133327b50980
141947c63a00
15d6724408c
hex803d7a970

34424203632 has 120 divisors (see below), whose sum is σ = 111405900816. Its totient is φ = 9078902784.

The previous prime is 34424203621. The next prime is 34424203633. The reversal of 34424203632 is 23630242443.

It is a junction number, because it is equal to n+sod(n) for n = 34424203593 and 34424203602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34424203633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532353 + ... + 593504.

Almost surely, 234424203632 is an apocalyptic number.

It is an amenable number.

34424203632 is an abundant number, since it is smaller than the sum of its proper divisors (76981697184).

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

34424203632 is a wasteful number, since it uses less digits than its factorization.

34424203632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125895 (or 1125882 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

The spelling of 34424203632 in words is "thirty-four billion, four hundred twenty-four million, two hundred three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 1125857 2251714 3377571 4503428 6755142 7880999 9006856 13510284 14636141 15761998 18013712 23642997 27020568 29272282 31523996 43908423 47285994 54041136 55166993 58544564 63047992 87816846 94571988 102452987 110333986 117089128 126095984 165500979 175633692 189143976 204905974 220667972 234178256 307358961 331001958 351267384 378287952 409811948 441335944 614717922 662003916 702534768 717170909 819623896 882671888 1229435844 1324007832 1434341818 1639247792 2151512727 2458871688 2648015664 2868683636 4303025454 4917743376 5737367272 8606050908 11474734544 17212101816 34424203632