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3402121140 = 22325113746439
BaseRepresentation
bin1100101011001000…
…0011111110110100
322210002200122211200
43022302003332310
523431420334030
61321331132500
7150210360345
oct31262037664
98702618750
103402121140
111496454a70
127ab444130
13422ab9442
14243ba00cc
1514da25d60
hexcac83fb4

3402121140 has 144 divisors (see below), whose sum is σ = 11562445440. Its totient is φ = 802448640.

The previous prime is 3402121139. The next prime is 3402121157. The reversal of 3402121140 is 411212043.

3402121140 is a `hidden beast` number, since 3 + 402 + 121 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50041 + ... + 96479.

It is an arithmetic number, because the mean of its divisors is an integer number (80294760).

Almost surely, 23402121140 is an apocalyptic number.

3402121140 is a gapful number since it is divisible by the number (30) 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 3402121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781222720).

3402121140 is an abundant number, since it is smaller than the sum of its proper divisors (8160324300).

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

3402121140 is a wasteful number, since it uses less digits than its factorization.

3402121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46502 (or 46497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3402121140 is about 58327.7047379716. The cubic root of 3402121140 is about 1504.0072318622.

Adding to 3402121140 its reverse (411212043), we get a palindrome (3813333183).

The spelling of 3402121140 in words is "three billion, four hundred two million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 46439 73260 92878 139317 185756 232195 278634 417951 464390 510829 557268 696585 835902 928780 1021658 1393170 1532487 1671804 1718243 2043316 2089755 2554145 2786340 3064974 3436486 4179510 4597461 5108290 5154729 6129948 6872972 7662435 8359020 8591215 9194922 10216580 10309458 15324870 15464187 17182430 18389844 18900673 20618916 22987305 25773645 30649740 30928374 34364860 37801346 45974610 51547290 56702019 61856748 75602692 77320935 91949220 94503365 103094580 113404038 154641870 170106057 189006730 226808076 283510095 309283740 340212114 378013460 567020190 680424228 850530285 1134040380 1701060570 3402121140