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354324445440 = 2835713181713
BaseRepresentation
bin1010010011111110110…
…00011111100100000000
31020212120110221210021220
411021333120133210000
521301124024223230
6430435134315040
734412330043630
oct5117730374400
91225513853256
10354324445440
111272a4a041a9
1258806658a80
1327549799794
1413213d206c0
15933ba15d10
hex527f61f900

354324445440 has 144 divisors (see below), whose sum is σ = 1293284323968. Its totient is φ = 80988438528.

The previous prime is 354324445439. The next prime is 354324445459. The reversal of 354324445440 is 44544423453.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 = 354324445392 and 354324445401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6563977 + ... + 6617736.

Almost surely, 2354324445440 is an apocalyptic number.

354324445440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354324445440 is an abundant number, since it is smaller than the sum of its proper divisors (938959878528).

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

354324445440 is a wasteful number, since it uses less digits than its factorization.

354324445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13181744 (or 13181730 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 42.

Adding to 354324445440 its reverse (44544423453), we get a palindrome (398868868893).

The spelling of 354324445440 in words is "three hundred fifty-four billion, three hundred twenty-four million, four hundred forty-five 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 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 13181713 26363426 39545139 52726852 65908565 79090278 92271991 105453704 131817130 158180556 184543982 197725695 210907408 263634260 276815973 316361112 369087964 395451390 421814816 461359955 527268520 553631946 632722224 738175928 790902780 843629632 922719910 1054537040 1107263892 1265444448 1384079865 1476351856 1581805560 1687259264 1845439820 2109074080 2214527784 2530888896 2768159730 2952703712 3163611120 3374518528 3690879640 4218148160 4429055568 5061777792 5536319460 5905407424 6327222240 7381759280 8436296320 8858111136 10123555584 11072638920 11810814848 12654444480 14763518560 16872592640 17716222272 22145277840 23621629696 25308888960 29527037120 35432444544 44290555680 50617777920 59054074240 70864889088 88581111360 118108148480 177162222720 354324445440