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2403134120 = 235432834937
BaseRepresentation
bin1000111100111100…
…1110101010101000
320012110220212021102
42033033032222220
514410200242440
61034243300532
7113360205632
oct21717165250
96173825242
102403134120
111023563262
1257097a748
132c3b4536a
1418b237a52
15e0e94b15
hex8f3ceaa8

2403134120 has 64 divisors (see below), whose sum is σ = 5553472320. Its totient is φ = 935391744.

The previous prime is 2403134087. The next prime is 2403134141. The reversal of 2403134120 is 214313042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2403134092 and 2403134101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484292 + ... + 489228.

It is an arithmetic number, because the mean of its divisors is an integer number (86773005).

Almost surely, 22403134120 is an apocalyptic number.

2403134120 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 2403134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776736160).

2403134120 is an abundant number, since it is smaller than the sum of its proper divisors (3150338200).

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

2403134120 is a wasteful number, since it uses less digits than its factorization.

2403134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2403134120 is about 49021.7718978007. The cubic root of 2403134120 is about 1339.4484475464.

Adding to 2403134120 its reverse (214313042), we get a palindrome (2617447162).

The spelling of 2403134120 in words is "two billion, four hundred three million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 283 344 430 566 860 1132 1415 1720 2264 2830 4937 5660 9874 11320 12169 19748 24338 24685 39496 48676 49370 60845 97352 98740 121690 197480 212291 243380 424582 486760 849164 1061455 1397171 1698328 2122910 2794342 4245820 5588684 6985855 8491640 11177368 13971710 27943420 55886840 60078353 120156706 240313412 300391765 480626824 600783530 1201567060 2403134120