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2334342013320 = 2335791949126341
BaseRepresentation
bin100001111110000001101…
…000000110000110001000
322021011100022022220121110
4201332001220012012020
5301221213023411240
64544214254410320
7330436112504262
oct41760150060610
98234308286543
102334342013320
1181aa97234a79
123184b25009a0
1313c187197605
1480da897cb32
1540ac5597c80
hex21f81a06188

2334342013320 has 128 divisors (see below), whose sum is σ = 7095366720000. Its totient is φ = 614291358720.

The previous prime is 2334342013313. The next prime is 2334342013327. The reversal of 2334342013320 is 233102434332.

It is an interprime number because it is at equal distance from previous prime (2334342013313) and next prime (2334342013327).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2334342013327) 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, 18413350 + ... + 18539690.

It is an arithmetic number, because the mean of its divisors is an integer number (55432552500).

Almost surely, 22334342013320 is an apocalyptic number.

2334342013320 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 2334342013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547683360000).

2334342013320 is an abundant number, since it is smaller than the sum of its proper divisors (4761024706680).

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

2334342013320 is a wasteful number, since it uses less digits than its factorization.

2334342013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128383 (or 128379 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 2334342013320 its reverse (233102434332), we get a palindrome (2567444447652).

The spelling of 2334342013320 in words is "two trillion, three hundred thirty-four billion, three hundred forty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 1949 2370 3160 3898 4740 5847 7796 9480 9745 11694 15592 19490 23388 29235 38980 46776 58470 77960 116940 126341 153971 233880 252682 307942 379023 461913 505364 615884 631705 758046 769855 923826 1010728 1231768 1263410 1516092 1539710 1847652 1895115 2309565 2526820 3032184 3079420 3695304 3790230 4619130 5053640 6158840 7580460 9238260 9980939 15160920 18476520 19961878 29942817 39923756 49904695 59885634 79847512 99809390 119771268 149714085 199618780 239542536 246238609 299428170 399237560 492477218 598856340 738715827 984954436 1197712680 1231193045 1477431654 1969908872 2462386090 2954863308 3693579135 4924772180 5909726616 7387158270 9849544360 14774316540 19452850111 29548633080 38905700222 58358550333 77811400444 97264250555 116717100666 155622800888 194528501110 233434201332 291792751665 389057002220 466868402664 583585503330 778114004440 1167171006660 2334342013320