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3001122240 = 263514920981
BaseRepresentation
bin1011001011100001…
…0111110111000000
321202011010210202120
42302320113313000
522121241402430
61213444244240
7134241055344
oct26270276700
97664123676
103001122240
111300067616
126b90a0680
1338a9b829c
14206819624
15128716610
hexb2e17dc0

3001122240 has 112 divisors (see below), whose sum is σ = 9592970400. Its totient is φ = 794890240.

The previous prime is 3001122239. The next prime is 3001122253. The reversal of 3001122240 is 422211003.

3001122240 is digitally balanced in base 2, because in such base 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 (15).

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, 132550 + ... + 153530.

Almost surely, 23001122240 is an apocalyptic number.

3001122240 is a gapful number since it is divisible by the number (30) 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 3001122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796485200).

3001122240 is an abundant number, since it is smaller than the sum of its proper divisors (6591848160).

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

3001122240 is a wasteful number, since it uses less digits than its factorization.

3001122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21150 (or 21140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3001122240 is about 54782.4993953361. The cubic root of 3001122240 is about 1442.4293867938.

Adding to 3001122240 its reverse (422211003), we get a palindrome (3423333243).

The spelling of 3001122240 in words is "three billion, one million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 149 160 192 240 298 320 447 480 596 745 894 960 1192 1490 1788 2235 2384 2980 3576 4470 4768 5960 7152 8940 9536 11920 14304 17880 20981 23840 28608 35760 41962 47680 62943 71520 83924 104905 125886 143040 167848 209810 251772 314715 335696 419620 503544 629430 671392 839240 1007088 1258860 1342784 1678480 2014176 2517720 3126169 3356960 4028352 5035440 6252338 6713920 9378507 10070880 12504676 15630845 18757014 20141760 25009352 31261690 37514028 46892535 50018704 62523380 75028056 93785070 100037408 125046760 150056112 187570140 200074816 250093520 300112224 375140280 500187040 600224448 750280560 1000374080 1500561120 3001122240