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2342434003420 = 2257219149844309
BaseRepresentation
bin100010000101100011111…
…100100101100111011100
322021221020020211121012111
4202011203330211213130
5301334301101102140
64552033242043404
7331143461336200
oct42054374454734
98257206747174
102342434003420
11823469a229a5
12319b904a9564
1313cb767a8434
1481535550b00
1540deabb47ea
hex22163f259dc

2342434003420 has 144 divisors (see below), whose sum is σ = 6063834420000. Its totient is φ = 755743468032.

The previous prime is 2342434003397. The next prime is 2342434003453. The reversal of 2342434003420 is 243004342432.

It is a happy number.

2342434003420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2352226 + ... + 3196534.

It is an arithmetic number, because the mean of its divisors is an integer number (42109961250).

Almost surely, 22342434003420 is an apocalyptic number.

2342434003420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342434003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031917210000).

2342434003420 is an abundant number, since it is smaller than the sum of its proper divisors (3721400416580).

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

2342434003420 is a wasteful number, since it uses less digits than its factorization.

2342434003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844500 (or 844491 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 2342434003420 its reverse (243004342432), we get a palindrome (2585438345852).

The spelling of 2342434003420 in words is "two trillion, three hundred forty-two billion, four hundred thirty-four million, three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 149 190 196 245 266 298 380 490 532 596 665 745 931 980 1043 1330 1490 1862 2086 2660 2831 2980 3724 4172 4655 5215 5662 7301 9310 10430 11324 14155 14602 18620 19817 20860 28310 29204 36505 39634 56620 73010 79268 99085 138719 146020 198170 277438 396340 554876 693595 844309 1387190 1688618 2774380 3377236 4221545 5910163 8443090 11820326 16041871 16886180 23640652 29550815 32083742 41371141 59101630 64167484 80209355 82742282 112293097 118203260 125802041 160418710 165484564 206855705 224586194 251604082 320837420 413711410 449172388 503208164 561465485 629010205 786051679 827422820 880614287 1122930970 1258020410 1572103358 1761228574 2245861940 2390238779 2516040820 3144206716 3522457148 3930258395 4403071435 4780477558 6164300009 7860516790 8806142870 9560955116 11951193895 12328600018 15721033580 16731671453 17612285740 23902387790 24657200036 30821500045 33463342906 47804775580 61643000090 66926685812 83658357265 117121700171 123286000180 167316714530 234243400342 334633429060 468486800684 585608500855 1171217001710 2342434003420