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2434114420 = 2252931331409
BaseRepresentation
bin1001000100010101…
…1010001101110100
320021122012211020221
42101011122031310
514441113130140
61041311304124
7114214426333
oct22105321564
96248184227
102434114420
111039aa3211
1257b21b044
132ca3a15ba
141913bdd1a
15e3a6414a
hex9115a374

2434114420 has 96 divisors (see below), whose sum is σ = 5488358400. Its totient is φ = 904780800.

The previous prime is 2434114399. The next prime is 2434114421. The reversal of 2434114420 is 244114342.

2434114420 = T403 + T404 + ... + T2447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434114421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5951176 + ... + 5951584.

It is an arithmetic number, because the mean of its divisors is an integer number (57170400).

Almost surely, 22434114420 is an apocalyptic number.

2434114420 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 2434114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744179200).

2434114420 is an abundant number, since it is smaller than the sum of its proper divisors (3054243980).

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

2434114420 is a wasteful number, since it uses less digits than its factorization.

2434114420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2434114420 is about 49336.7451297712. The cubic root of 2434114420 is about 1345.1797772435.

Adding to 2434114420 its reverse (244114342), we get a palindrome (2678228762).

The spelling of 2434114420 in words is "two billion, four hundred thirty-four million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 331 409 580 620 662 818 899 1324 1636 1655 1798 2045 3310 3596 4090 4495 6620 8180 8990 9599 10261 11861 12679 17980 19198 20522 23722 25358 38396 41044 47444 47995 50716 51305 59305 63395 95990 102610 118610 126790 135379 191980 205220 237220 253580 270758 297569 367691 541516 595138 676895 735382 1190276 1353790 1470764 1487845 1838455 2707580 2975690 3676910 3925991 4196749 5951380 7353820 7851982 8393498 15703964 16786996 19629955 20983745 39259910 41967490 78519820 83934980 121705721 243411442 486822884 608528605 1217057210 2434114420