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341434402340 = 22537796778627
BaseRepresentation
bin1001111011111110001…
…00111000011000100100
31012122022011001202100012
410331333010320120210
521043224201333330
6420504112105352
733445030351223
oct4757704703044
91178264052305
10341434402340
1112188a901019
1256209835258
1326274116645
1412750018cba
158d35083c95
hex4f7f138624

341434402340 has 96 divisors (see below), whose sum is σ = 746900421120. Its totient is φ = 130991537664.

The previous prime is 341434402327. The next prime is 341434402369. The reversal of 341434402340 is 43204434143.

It is a super-2 number, since 2×3414344023402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 341434402297 and 341434402306.

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, 39573107 + ... + 39581733.

It is an arithmetic number, because the mean of its divisors is an integer number (7780212720).

Almost surely, 2341434402340 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 341434402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373450210560).

341434402340 is an abundant number, since it is smaller than the sum of its proper divisors (405466018780).

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

341434402340 is a wasteful number, since it uses less digits than its factorization.

341434402340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9429 (or 9427 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 341434402340 its reverse (43204434143), we get a palindrome (384638836483).

The spelling of 341434402340 in words is "three hundred forty-one billion, four hundred thirty-four million, four hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 79 148 158 185 316 370 395 677 740 790 1354 1580 2708 2923 3385 5846 6770 8627 11692 13540 14615 17254 25049 29230 34508 43135 50098 53483 58460 86270 100196 106966 125245 172540 213932 250490 267415 319199 500980 534830 638398 681533 1069660 1276796 1363066 1595995 1978871 2726132 3191990 3407665 3957742 5840479 6383980 6815330 7915484 9894355 11680958 13630660 19788710 23361916 25216721 29202395 39577420 50433442 58404790 100866884 116809580 126083605 216097723 252167210 432195446 461397841 504334420 864390892 922795682 1080488615 1845591364 2160977230 2306989205 4321954460 4613978410 9227956820 17071720117 34143440234 68286880468 85358600585 170717201170 341434402340