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34421601720 = 23351137704783
BaseRepresentation
bin100000000011101011…
…111111010110111000
310021211220022112122210
4200003223333112320
51030443412223340
623451342215120
72325666533652
oct400353772670
9107756275583
1034421601720
1113664107930
1268078844a0
13332744c58c
1419477876d2
15d66dcd180
hex803aff5b8

34421601720 has 128 divisors (see below), whose sum is σ = 115697341440. Its totient is φ = 8119088640.

The previous prime is 34421601673. The next prime is 34421601737. The reversal of 34421601720 is 2710612443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 303552 + ... + 401231.

It is an arithmetic number, because the mean of its divisors is an integer number (903885480).

Almost surely, 234421601720 is an apocalyptic number.

34421601720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34421601720 is an abundant number, since it is smaller than the sum of its proper divisors (81275739720).

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

34421601720 is a wasteful number, since it uses less digits than its factorization.

34421601720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704845 (or 704841 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 34421601720 in words is "thirty-four billion, four hundred twenty-one million, six hundred one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 704783 1409566 2114349 2819132 3523915 4228698 5638264 7047830 7752613 8457396 10571745 14095660 15505226 16914792 21143490 23257839 26076971 28191320 31010452 38763065 42286980 46515678 52153942 62020904 77526130 78230913 84573960 93031356 104307884 116289195 130384855 155052260 156461826 186062712 208615768 232578390 260769710 286846681 310104520 312923652 391154565 465156780 521539420 573693362 625847304 782309130 860540043 930313560 1043078840 1147386724 1434233405 1564618260 1721080086 2294773448 2868466810 3129236520 3442160172 4302700215 5736933620 6884320344 8605400430 11473867240 17210800860 34421601720