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2434612140 = 2237555661
BaseRepresentation
bin1001000100011101…
…0011101110101100
320021200011010000000
42101013103232230
514441230042030
61041330104300
7114221601402
oct22107235654
96250133000
102434612140
11103a303154
1257b41b090
132ca516ccc
141914ad472
15e3b11860
hex911d3bac

2434612140 has 96 divisors (see below), whose sum is σ = 7667997120. Its totient is φ = 649218240.

The previous prime is 2434612129. The next prime is 2434612157. The reversal of 2434612140 is 412164342.

It is a happy number.

2434612140 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 612 + 1 + 40 = 666.

2434612140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 15910 + ... + 71570.

It is an arithmetic number, because the mean of its divisors is an integer number (79874970).

Almost surely, 22434612140 is an apocalyptic number.

2434612140 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 2434612140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833998560).

2434612140 is an abundant number, since it is smaller than the sum of its proper divisors (5233384980).

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

2434612140 is an equidigital number, since it uses as much as digits as its factorization.

2434612140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55691 (or 55671 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2434612140 is about 49341.7889825653. The cubic root of 2434612140 is about 1345.2714570271.

Adding to 2434612140 its reverse (412164342), we get a palindrome (2846776482).

The spelling of 2434612140 in words is "two billion, four hundred thirty-four million, six hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2916 3645 4374 4860 7290 8748 10935 14580 21870 43740 55661 111322 166983 222644 278305 333966 500949 556610 667932 834915 1001898 1113220 1502847 1669830 2003796 2504745 3005694 3339660 4508541 5009490 6011388 7514235 9017082 10018980 13525623 15028470 18034164 22542705 27051246 30056940 40576869 45085410 54102492 67628115 81153738 90170820 121730607 135256230 162307476 202884345 243461214 270512460 405768690 486922428 608653035 811537380 1217306070 2434612140