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2342400420 = 22351710132267
BaseRepresentation
bin1000101110011110…
…0011000110100100
320001020122021022010
42023213203012210
514244123303140
61024233434220
7112022034513
oct21347430644
96036567263
102342400420
11aa2251118
1255456b970
132b439c469
1418314867a
15da999880
hex8b9e31a4

2342400420 has 96 divisors (see below), whose sum is σ = 6954450048. Its totient is φ = 587057152.

The previous prime is 2342400419. The next prime is 2342400449. The reversal of 2342400420 is 240042432.

It is a nialpdrome in base 15.

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, 1032127 + ... + 1034393.

It is an arithmetic number, because the mean of its divisors is an integer number (72442188).

Almost surely, 22342400420 is an apocalyptic number.

2342400420 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 2342400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477225024).

2342400420 is an abundant number, since it is smaller than the sum of its proper divisors (4612049628).

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

2342400420 is a wasteful number, since it uses less digits than its factorization.

2342400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2342400420 is about 48398.3514182043. The cubic root of 2342400420 is about 1328.0682038143.

Adding to 2342400420 its reverse (240042432), we get a palindrome (2582442852).

The spelling of 2342400420 in words is "two billion, three hundred forty-two million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1013 1020 2026 2267 3039 4052 4534 5065 6078 6801 9068 10130 11335 12156 13602 15195 17221 20260 22670 27204 30390 34005 34442 38539 45340 51663 60780 68010 68884 77078 86105 103326 115617 136020 154156 172210 192695 206652 231234 258315 344420 385390 462468 516630 578085 770780 1033260 1156170 2296471 2312340 4592942 6889413 9185884 11482355 13778826 22964710 27557652 34447065 39040007 45929420 68894130 78080014 117120021 137788260 156160028 195200035 234240042 390400070 468480084 585600105 780800140 1171200210 2342400420