Search a number
-
+
3340256254440 = 2335719209289239
BaseRepresentation
bin110000100110110110110…
…010011001100111101000
3102211022210012102220200220
4300212312302121213220
5414211321100120230
611034254215530040
7463216443461640
oct60466662314750
912738705386626
103340256254440
11107865a636846
1245b445089920
131b2ca58334c1
14b795266d520
155bd4b156d10
hex309b6c999e8

3340256254440 has 128 divisors (see below), whose sum is σ = 12055060224000. Its totient is φ = 723303606528.

The previous prime is 3340256254427. The next prime is 3340256254451. The reversal of 3340256254440 is 444526520433.

It is a happy number.

3340256254440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33402562544402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3340256254392 and 3340256254401.

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, 104628660 + ... + 104660579.

It is an arithmetic number, because the mean of its divisors is an integer number (94180158000).

Almost surely, 23340256254440 is an apocalyptic number.

3340256254440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3340256254440 is an abundant number, since it is smaller than the sum of its proper divisors (8714803969560).

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

3340256254440 is a wasteful number, since it uses less digits than its factorization.

3340256254440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209289279 (or 209289275 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

The spelling of 3340256254440 in words is "three trillion, three hundred forty billion, two hundred fifty-six million, two hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 209289239 418578478 627867717 837156956 1046446195 1255735434 1465024673 1674313912 2092892390 2511470868 2930049346 3139338585 3976495541 4185784780 4395074019 5022941736 5860098692 6278677170 7325123365 7952991082 8371569560 8790148038 11720197384 11929486623 12557354340 14650246730 15905982164 17580296076 19882477705 21975370095 23858973246 25114708680 27835468787 29300493460 31811964328 35160592152 39764955410 43950740190 47717946492 55670937574 58600986920 59647433115 79529910820 83506406361 87901480380 95435892984 111341875148 119294866230 139177343935 159059821640 167012812722 175802960760 222683750296 238589732460 278354687870 334025625444 417532031805 477179464920 556709375740 668051250888 835064063610 1113418751480 1670128127220 3340256254440