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34303401440 = 2557112784367
BaseRepresentation
bin11111111100101001…
…000101110111100000
310021112122220100100122
4133330221011313200
51030223132321230
623431520535412
72323033046510
oct377451056740
9107478810318
1034303401440
1113603415250
126794181568
133308b05899
141935bb9840
15d5b830be5
hex7fca45de0

34303401440 has 96 divisors (see below), whose sum is σ = 101039145984. Its totient is φ = 10691965440.

The previous prime is 34303401371. The next prime is 34303401481. The reversal of 34303401440 is 4410430343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1379864 + ... + 1404503.

It is an arithmetic number, because the mean of its divisors is an integer number (1052491104).

Almost surely, 234303401440 is an apocalyptic number.

It is an amenable number.

34303401440 is an abundant number, since it is smaller than the sum of its proper divisors (66735744544).

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

34303401440 is a wasteful number, since it uses less digits than its factorization.

34303401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784400 (or 2784392 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34303401440 its reverse (4410430343), we get a palindrome (38713831783).

The spelling of 34303401440 in words is "thirty-four billion, three hundred three million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 2784367 5568734 11137468 13921835 19490569 22274936 27843670 30628037 38981138 44549872 55687340 61256074 77962276 89099744 97452845 111374680 122512148 153140185 155924552 194905690 214396259 222749360 245024296 306280370 311849104 389811380 428792518 445498720 490048592 612560740 623698208 779622760 857585036 980097184 1071981295 1225121480 1559245520 1715170072 2143962590 2450242960 3118491040 3430340144 4287925180 4900485920 6860680288 8575850360 17151700720 34303401440