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344200301430 = 235315325572731
BaseRepresentation
bin1010000001000111110…
…11111100101101110110
31012220102220120222121020
411000203323330231312
521114410234121210
6422042355002010
733603414201036
oct5004373745566
91186386528536
10344200301430
11122a7a107a37
125685bb99306
13265c516411b
14129334c38c6
158e47cd4770
hex5023efcb76

344200301430 has 128 divisors (see below), whose sum is σ = 869475741696. Its totient is φ = 87083942400.

The previous prime is 344200301369. The next prime is 344200301437. The reversal of 344200301430 is 34103002443.

It is a self number, because there is not a number n which added to its sum of digits gives 344200301430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344200301437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126033165 + ... + 126035895.

It is an arithmetic number, because the mean of its divisors is an integer number (6792779232).

Almost surely, 2344200301430 is an apocalyptic number.

344200301430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344200301430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434737870848).

344200301430 is an abundant number, since it is smaller than the sum of its proper divisors (525275440266).

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

344200301430 is a wasteful number, since it uses less digits than its factorization.

344200301430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5382.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 344200301430 its reverse (34103002443), we get a palindrome (378303303873).

The spelling of 344200301430 in words is "three hundred forty-four billion, two hundred million, three hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 53 62 93 106 155 159 186 265 310 318 465 530 795 930 1590 1643 2557 2731 3286 4929 5114 5462 7671 8193 8215 9858 12785 13655 15342 16386 16430 24645 25570 27310 38355 40965 49290 76710 79267 81930 84661 135521 144743 158534 169322 237801 253983 271042 289486 396335 406563 423305 434229 475602 507966 677605 723715 792670 813126 846610 868458 1189005 1269915 1355210 1447430 2032815 2171145 2378010 2539830 4065630 4201151 4342290 4487033 6983167 8402302 8974066 12603453 13461099 13966334 20949501 21005755 22435165 25206906 26922198 34915835 41899002 42011510 44870330 63017265 67305495 69831670 104747505 126034530 134610990 209495010 216478177 370107851 432956354 649434531 740215702 1082390885 1110323553 1298869062 1850539255 2164781770 2220647106 3247172655 3701078510 5551617765 6494345310 11103235530 11473343381 22946686762 34420030143 57366716905 68840060286 114733433810 172100150715 344200301430