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34124242200 = 23352488911633
BaseRepresentation
bin11111110001111101…
…101001110100011000
310021002011210010002020
4133301331221310120
51024341301222300
623402040534440
72315426162406
oct376175516430
9107064703066
1034124242200
1113521277264
126744181420
1332aa9675b9
14191a0a0476
15d4ac418a0
hex7f1f69d18

34124242200 has 96 divisors (see below), whose sum is σ = 105815883600. Its totient is φ = 9097154560.

The previous prime is 34124242199. The next prime is 34124242213. The reversal of 34124242200 is 224242143.

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

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, 2927584 + ... + 2939216.

Almost surely, 234124242200 is an apocalyptic number.

34124242200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34124242200 is an abundant number, since it is smaller than the sum of its proper divisors (71691641400).

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

34124242200 is a wasteful number, since it uses less digits than its factorization.

34124242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16541 (or 16532 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34124242200 its reverse (224242143), we get a palindrome (34348484343).

The spelling of 34124242200 in words is "thirty-four billion, one hundred twenty-four million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 4889 9778 11633 14667 19556 23266 24445 29334 34899 39112 46532 48890 58165 58668 69798 73335 93064 97780 116330 117336 122225 139596 146670 174495 195560 232660 244450 279192 290825 293340 348990 366675 465320 488900 581650 586680 697980 733350 872475 977800 1163300 1395960 1466700 1744950 2326600 2933400 3489900 6979800 56873737 113747474 170621211 227494948 284368685 341242422 454989896 568737370 682484844 853106055 1137474740 1364969688 1421843425 1706212110 2274949480 2843686850 3412424220 4265530275 5687373700 6824848440 8531060550 11374747400 17062121100 34124242200