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34642104420 = 22357117498291
BaseRepresentation
bin100000010000110101…
…001001000001100100
310022102021020020111110
4200100311021001210
51031421334320140
623525300305020
72334315012660
oct402065110144
9108367206443
1034642104420
1113767623870
1268696a2170
133361034a51
141968b858a0
15d7b437380
hex810d49064

34642104420 has 96 divisors (see below), whose sum is σ = 120932453376. Its totient is φ = 7198358400.

The previous prime is 34642104403. The next prime is 34642104421. The reversal of 34642104420 is 2440124643.

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

It is not an unprimeable number, because it can be changed into a prime (34642104421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3744526 + ... + 3753765.

It is an arithmetic number, because the mean of its divisors is an integer number (1259713056).

Almost surely, 234642104420 is an apocalyptic number.

34642104420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34642104420 is an abundant number, since it is smaller than the sum of its proper divisors (86290348956).

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

34642104420 is a wasteful number, since it uses less digits than its factorization.

34642104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7498321 (or 7498319 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 34642104420 in words is "thirty-four billion, six hundred forty-two million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 7498291 14996582 22494873 29993164 37491455 44989746 52488037 74982910 82481201 89979492 104976074 112474365 149965820 157464111 164962402 209952148 224948730 247443603 262440185 314928222 329924804 412406005 449897460 494887206 524880370 577368407 629856444 787320555 824812010 989774412 1049760740 1154736814 1237218015 1574641110 1649624020 1732105221 2309473628 2474436030 2886842035 3149282220 3464210442 4948872060 5773684070 6928420884 8660526105 11547368140 17321052210 34642104420