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2803903340 = 2257199710867
BaseRepresentation
bin1010011100100000…
…0010101101101100
321020102001001021212
42213020002231230
521220244401330
61142121213552
7126324533210
oct24710025554
97212031255
102803903340
111209804097
126630312b8
13358b95b04
141c855c940
1511625b295
hexa7202b6c

2803903340 has 96 divisors (see below), whose sum is σ = 7157230080. Its totient is φ = 901269504.

The previous prime is 2803903231. The next prime is 2803903409. The reversal of 2803903340 is 433093082.

It is a happy number.

It is a super-3 number, since 3×28039033403 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2803903297 and 2803903306.

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, 252587 + ... + 263453.

It is an arithmetic number, because the mean of its divisors is an integer number (74554480).

Almost surely, 22803903340 is an apocalyptic number.

2803903340 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 2803903340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578615040).

2803903340 is an abundant number, since it is smaller than the sum of its proper divisors (4353326740).

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

2803903340 is a wasteful number, since it uses less digits than its factorization.

2803903340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10999 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 2803903340 is about 52951.8964721756. The cubic root of 2803903340 is about 1410.1143947561.

The spelling of 2803903340 in words is "two billion, eight hundred three million, nine hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 97 133 140 190 194 266 380 388 485 532 665 679 970 1330 1358 1843 1940 2660 2716 3395 3686 6790 7372 9215 10867 12901 13580 18430 21734 25802 36860 43468 51604 54335 64505 76069 108670 129010 152138 206473 217340 258020 304276 380345 412946 760690 825892 1032365 1054099 1445311 1521380 2064730 2108198 2890622 4129460 4216396 5270495 5781244 7226555 7378693 10540990 14453110 14757386 20027881 21081980 28906220 29514772 36893465 40055762 73786930 80111524 100139405 140195167 147573860 200278810 280390334 400557620 560780668 700975835 1401951670 2803903340