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343442002413232 = 2410314913799101359
BaseRepresentation
bin100111000010110111101001…
…0100011100000011010110000
31200001000201211122122220200001
41032011233102203200122300
5330003423210104210412
63214235024445435344
7132224602661365162
oct11605572243403260
91601021748586601
10343442002413232
119a481a31936378
123262943b86bb54
1311983598a00958
1460b49784a0932
1529a8aabd8c957
hex1385bd28e06b0

343442002413232 has 80 divisors (see below), whose sum is σ = 676444204800000. Its totient is φ = 168898599021312.

The previous prime is 343442002413173. The next prime is 343442002413259. The reversal of 343442002413232 is 232314200244343.

It is a super-2 number, since 2×3434420024132322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343442002413191 and 343442002413200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3388321369 + ... + 3388422727.

It is an arithmetic number, because the mean of its divisors is an integer number (8455552560000).

Almost surely, 2343442002413232 is an apocalyptic number.

It is an amenable number.

343442002413232 is a deficient number, since it is larger than the sum of its proper divisors (333002202386768).

343442002413232 is a wasteful number, since it uses less digits than its factorization.

343442002413232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115418 (or 115412 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 343442002413232 its reverse (232314200244343), we get a palindrome (575756202657575).

The spelling of 343442002413232 in words is "three hundred forty-three trillion, four hundred forty-two billion, two million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 103 149 206 298 412 596 824 1192 1648 2384 13799 15347 27598 30694 55196 61388 101359 110392 122776 202718 220784 245552 405436 810872 1421297 1621744 2056051 2842594 4112102 5685188 8224204 10439977 11370376 15102491 16448408 20879954 22740752 30204982 32896816 41759908 60409964 83519816 120819928 167039632 211773253 241639856 423546506 847093012 1398652841 1555556573 1694186024 2797305682 3111113146 3388372048 5594611364 6222226292 11189222728 12444452584 22378445456 24888905168 144061242623 208399273309 288122485246 416798546618 576244970492 833597093236 1152489940984 1667194186472 2304979881968 3334388372944 21465125150827 42930250301654 85860500603308 171721001206616 343442002413232