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2334921420 = 22351310329063
BaseRepresentation
bin1000101100101100…
…0001001011001100
320000201120022001010
42023023001023030
514240214441140
61023405245220
7111601335036
oct21313011314
96021508033
102334921420
11a99003027
12551b63810
132b2981210
1418215cc56
15d9ebd880
hex8b2c12cc

2334921420 has 96 divisors (see below), whose sum is σ = 7109286912. Its totient is φ = 569150208.

The previous prime is 2334921409. The next prime is 2334921437. The reversal of 2334921420 is 241294332.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65809 + ... + 94871.

It is an arithmetic number, because the mean of its divisors is an integer number (74055072).

Almost surely, 22334921420 is an apocalyptic number.

2334921420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334921420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554643456).

2334921420 is an abundant number, since it is smaller than the sum of its proper divisors (4774365492).

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

2334921420 is a wasteful number, since it uses less digits than its factorization.

2334921420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29191 (or 29189 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2334921420 is about 48321.0246166200. The cubic root of 2334921420 is about 1326.6532433289.

The spelling of 2334921420 in words is "two billion, three hundred thirty-four million, nine hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 103 130 156 195 206 260 309 390 412 515 618 780 1030 1236 1339 1545 2060 2678 3090 4017 5356 6180 6695 8034 13390 16068 20085 26780 29063 40170 58126 80340 87189 116252 145315 174378 290630 348756 377819 435945 581260 755638 871890 1133457 1511276 1743780 1889095 2266914 2993489 3778190 4533828 5667285 5986978 7556380 8980467 11334570 11973956 14967445 17960934 22669140 29934890 35921868 38915357 44902335 59869780 77830714 89804670 116746071 155661428 179609340 194576785 233492142 389153570 466984284 583730355 778307140 1167460710 2334921420