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34404362430 = 23589120110729
BaseRepresentation
bin100000000010101010…
…001110100010111110
310021210200212200210120
4200002222032202332
51030430004044210
623445524515410
72325400153434
oct400252164276
9107720780716
1034404362430
1113655402789
126801b4bb66
1333239c4909
14194537ad54
15d65625270
hex802a8e8be

34404362430 has 64 divisors (see below), whose sum is σ = 83575540800. Its totient is φ = 9063014400.

The previous prime is 34404362429. The next prime is 34404362441. The reversal of 34404362430 is 3426340443.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34404362391 and 34404362400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3201306 + ... + 3212034.

It is an arithmetic number, because the mean of its divisors is an integer number (1305867825).

Almost surely, 234404362430 is an apocalyptic number.

34404362430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34404362430 is an abundant number, since it is smaller than the sum of its proper divisors (49171178370).

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

34404362430 is a wasteful number, since it uses less digits than its factorization.

34404362430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12029.

The product of its (nonzero) digits is 82944, while the sum is 33.

The spelling of 34404362430 in words is "thirty-four billion, four hundred four million, three hundred sixty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 89 178 267 445 534 890 1201 1335 2402 2670 3603 6005 7206 10729 12010 18015 21458 32187 36030 53645 64374 106889 107290 160935 213778 320667 321870 534445 641334 954881 1068890 1603335 1909762 2864643 3206670 4774405 5729286 9548810 12885529 14323215 25771058 28646430 38656587 64427645 77313174 128855290 193282935 386565870 1146812081 2293624162 3440436243 5734060405 6880872486 11468120810 17202181215 34404362430