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2300003040 = 25358357731
BaseRepresentation
bin1000100100010111…
…0100001011100000
312221021212021000210
42021011310023200
514202300044130
61020121014120
7110665463136
oct21105641340
95837767023
102300003040
11a80323365
12542324340
132a867665a
1417b66d756
15d6dc25b0
hex891742e0

2300003040 has 96 divisors (see below), whose sum is σ = 7332425856. Its totient is φ = 605934080.

The previous prime is 2300003033. The next prime is 2300003051. The reversal of 2300003040 is 403000032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10975 + ... + 68705.

It is an arithmetic number, because the mean of its divisors is an integer number (76379436).

Almost surely, 22300003040 is an apocalyptic number.

2300003040 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 2300003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666212928).

2300003040 is an abundant number, since it is smaller than the sum of its proper divisors (5032422816).

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

2300003040 is a wasteful number, since it uses less digits than its factorization.

2300003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57832 (or 57824 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2300003040 is about 47958.3469273077. The cubic root of 2300003040 is about 1320.0067033636.

Adding to 2300003040 its reverse (403000032), we get a palindrome (2703003072).

The spelling of 2300003040 in words is "two billion, three hundred million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 6640 7968 9960 13280 19920 39840 57731 115462 173193 230924 288655 346386 461848 577310 692772 865965 923696 1154620 1385544 1731930 1847392 2309240 2771088 3463860 4618480 4791673 5542176 6927720 9236960 9583346 13855440 14375019 19166692 23958365 27710880 28750038 38333384 47916730 57500076 71875095 76666768 95833460 115000152 143750190 153333536 191666920 230000304 287500380 383333840 460000608 575000760 766667680 1150001520 2300003040