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344402230420 = 225192982937699
BaseRepresentation
bin1010000001011111111…
…10001111110010010100
31012220221222120001002201
411000233332033302110
521120313432333140
6422114411014244
733611415441223
oct5005776176224
91186858501081
10344402230420
111230730981a6
12568b773a384
1326627c45431
1412952248cba
158e5a8c049a
hex502ff8fc94

344402230420 has 96 divisors (see below), whose sum is σ = 788533200000. Its totient is φ = 125854622208.

The previous prime is 344402230379. The next prime is 344402230421. The reversal of 344402230420 is 24032204443.

It is a happy number.

It is a super-2 number, since 2×3444022304202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344402230421) 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, 9116731 + ... + 9154429.

It is an arithmetic number, because the mean of its divisors is an integer number (8213887500).

Almost surely, 2344402230420 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 344402230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394266600000).

344402230420 is an abundant number, since it is smaller than the sum of its proper divisors (444130969580).

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

344402230420 is a wasteful number, since it uses less digits than its factorization.

344402230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38585 (or 38583 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 344402230420 its reverse (24032204443), we get a palindrome (368434434863).

The spelling of 344402230420 in words is "three hundred forty-four billion, four hundred two million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 829 1102 1658 2204 2755 3316 4145 5510 8290 11020 15751 16580 24041 31502 37699 48082 63004 75398 78755 96164 120205 150796 157510 188495 240410 315020 376990 456779 480820 716281 753980 913558 1093271 1432562 1827116 2186542 2283895 2865124 3581405 4373084 4567790 5466355 7162810 9135580 10932710 14325620 20772149 21865420 31252471 41544298 62504942 83088596 103860745 125009884 156262355 207721490 312524710 415442980 593796949 625049420 906321659 1187593898 1812643318 2375187796 2968984745 3625286636 4531608295 5937969490 9063216590 11875938980 17220111521 18126433180 34440223042 68880446084 86100557605 172201115210 344402230420