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3342121440 = 253572142097
BaseRepresentation
bin1100011100110100…
…1011100111100000
322121220210100201120
43013031023213200
523321040341230
61311345132240
7145551364200
oct30715134740
98556710646
103342121440
1114655a4339
1279332a080
1341353c668
14239c22400
15148623310
hexc734b9e0

3342121440 has 144 divisors (see below), whose sum is σ = 12246574032. Its totient is φ = 763908096.

The previous prime is 3342121427. The next prime is 3342121463. The reversal of 3342121440 is 441212433.

3342121440 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 2×33421214402 = 22339551439415347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3342121440.

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, 47529 + ... + 94568.

It is an arithmetic number, because the mean of its divisors is an integer number (85045653).

Almost surely, 23342121440 is an apocalyptic number.

3342121440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3342121440 is an abundant number, since it is smaller than the sum of its proper divisors (8904452592).

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

3342121440 is a wasteful number, since it uses less digits than its factorization.

3342121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142129 (or 142114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3342121440 is about 57811.0840583361. The cubic root of 3342121440 is about 1495.1131989616.

Adding to 3342121440 its reverse (441212433), we get a palindrome (3783333873).

The spelling of 3342121440 in words is "three billion, three hundred forty-two million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 142097 284194 426291 568388 710485 852582 994679 1136776 1420970 1705164 1989358 2131455 2273552 2841940 2984037 3410328 3978716 4262910 4547104 4973395 5683880 5968074 6820656 6962753 7957432 8525820 9946790 11367760 11936148 13641312 13925506 14920185 15914864 17051640 19893580 20888259 22735520 23872296 27851012 29840370 31829728 34103280 34813765 39787160 41776518 47744592 55702024 59680740 68206560 69627530 79574320 83553036 95489184 104441295 111404048 119361480 139255060 159148640 167106072 208882590 222808096 238722960 278510120 334212144 417765180 477445920 557020240 668424288 835530360 1114040480 1671060720 3342121440