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34212403470 = 23574335310733
BaseRepresentation
bin11111110111001101…
…111101100100001110
310021022022200011121110
4133313031331210032
51030031333402340
623414510312450
72320546426350
oct376715754416
9107268604543
1034212403470
1113567012113
1267697b8726
1332c2cc462b
141927a8d0d0
15d53858680
hex7f737d90e

34212403470 has 128 divisors (see below), whose sum is σ = 96303043584. Its totient is φ = 7615770624.

The previous prime is 34212403441. The next prime is 34212403481. The reversal of 34212403470 is 7430421243.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3182224 + ... + 3192956.

It is an arithmetic number, because the mean of its divisors is an integer number (752367528).

Almost surely, 234212403470 is an apocalyptic number.

34212403470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34212403470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48151521792).

34212403470 is an abundant number, since it is smaller than the sum of its proper divisors (62090640114).

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

34212403470 is a wasteful number, since it uses less digits than its factorization.

34212403470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11146.

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 34212403470 in words is "thirty-four billion, two hundred twelve million, four hundred three thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 353 430 602 645 706 903 1059 1290 1505 1765 1806 2118 2471 3010 3530 4515 4942 5295 7413 9030 10590 10733 12355 14826 15179 21466 24710 30358 32199 37065 45537 53665 64398 74130 75131 75895 91074 106253 107330 150262 151790 160995 212506 225393 227685 318759 321990 375655 450786 455370 461519 531265 637518 751310 923038 1062530 1126965 1384557 1593795 2253930 2307595 2769114 3187590 3230633 3788749 4615190 6461266 6922785 7577498 9691899 11366247 13845570 16153165 18943745 19383798 22732494 26521243 32306330 37887490 48459495 53042486 56831235 79563729 96918990 113662470 132606215 159127458 162916207 265212430 325832414 397818645 488748621 795637290 814581035 977497242 1140413449 1629162070 2280826898 2443743105 3421240347 4887486210 5702067245 6842480694 11404134490 17106201735 34212403470