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3378484297440 = 253257335167093
BaseRepresentation
bin110001001010011101010…
…110110011111011100000
3102221222110101020201011100
4301022131112303323200
5420323113440004230
611104015415314400
7466041663463230
oct61123526637340
912858411221140
103378484297440
11109289734430a
1246693367ba00
131b6788763ca5
14b973b783cc0
155cd372c4660
hex3129d5b3ee0

3378484297440 has 144 divisors (see below), whose sum is σ = 13176088799328. Its totient is φ = 772224979968.

The previous prime is 3378484297403. The next prime is 3378484297451. The reversal of 3378484297440 is 447924848733.

3378484297440 is a `hidden beast` number, since 3 + 37 + 84 + 84 + 2 + 9 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33784842974402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167573467 + ... + 167593626.

It is an arithmetic number, because the mean of its divisors is an integer number (91500616662).

Almost surely, 23378484297440 is an apocalyptic number.

3378484297440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3378484297440 is an abundant number, since it is smaller than the sum of its proper divisors (9797604501888).

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

3378484297440 is a wasteful number, since it uses less digits than its factorization.

3378484297440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335167121 (or 335167110 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 3378484297440 in words is "three trillion, three hundred seventy-eight billion, four hundred eighty-four million, two hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 335167093 670334186 1005501279 1340668372 1675835465 2011002558 2346169651 2681336744 3016503837 3351670930 4022005116 4692339302 5027506395 5362673488 6033007674 6703341860 7038508953 8044010232 9384678604 10055012790 10725346976 11730848255 12066015348 13406683720 14077017906 15082519185 16088020464 18769357208 20110025580 21115526859 23461696510 24132030696 26813367440 28154035812 30165038370 32176040928 35192544765 37538714416 40220051160 42231053718 46923393020 48264061392 53626734880 56308071624 60330076740 70385089530 75077428832 80440102320 84462107436 93846786040 96528122784 105577634295 112616143248 120660153480 140770179060 160880204640 168924214872 187693572080 211155268590 225232286496 241320306960 281540358120 337848429744 375387144160 422310537180 482640613920 563080716240 675696859488 844621074360 1126161432480 1689242148720 3378484297440