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434030040620 = 2251117821141353
BaseRepresentation
bin1100101000011100011…
…01001101011000101100
31112111022022002112210122
412110032031031120230
524102343142244440
6531220214024112
743233445321301
oct6241615153054
91474268075718
10434030040620
11158086708610
127014b948038
1331c0c912457
14170159410a8
15b45422d7b5
hex650e34d62c

434030040620 has 96 divisors (see below), whose sum is σ = 1054102787136. Its totient is φ = 148363059200.

The previous prime is 434030040617. The next prime is 434030040641. The reversal of 434030040620 is 26040030434.

It is a self number, because there is not a number n which added to its sum of digits gives 434030040620.

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, 2999864 + ... + 3141216.

It is an arithmetic number, because the mean of its divisors is an integer number (10980237366).

Almost surely, 2434030040620 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 434030040620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527051393568).

434030040620 is an abundant number, since it is smaller than the sum of its proper divisors (620072746516).

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

434030040620 is a wasteful number, since it uses less digits than its factorization.

434030040620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142211 (or 142209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The spelling of 434030040620 in words is "four hundred thirty-four billion, thirty million, forty thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 821 935 1642 1870 3284 3740 4105 8210 9031 13957 16420 18062 27914 36124 45155 55828 69785 90310 139570 141353 153527 180620 279140 282706 307054 565412 614108 706765 767635 1413530 1535270 1554883 2403001 2827060 3070540 3109766 4806002 6219532 7774415 9612004 12015005 15548830 24030010 26433011 31097660 48060020 52866022 105732044 116050813 132165055 232101626 264330110 464203252 528660220 580254065 1160508130 1276558943 1972863821 2321016260 2553117886 3945727642 5106235772 6382794715 7891455284 9864319105 12765589430 19728638210 21701502031 25531178860 39457276420 43403004062 86806008124 108507510155 217015020310 434030040620