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3002424320 = 2105783773
BaseRepresentation
bin1011001011110101…
…0101110000000000
321202020120221212202
42302331111300000
522122110034240
61213532212332
7134255120450
oct26275256000
97666527782
103002424320
111300876915
126b960a0a8
1338b052b4c
14206a77d60
151288c2315
hexb2f55c00

3002424320 has 88 divisors (see below), whose sum is σ = 8231298144. Its totient is φ = 1029390336.

The previous prime is 3002424319. The next prime is 3002424323. The reversal of 3002424320 is 234242003.

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 = 3002424292 and 3002424301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002424323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6047 + ... + 77726.

Almost surely, 23002424320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115649072).

3002424320 is an abundant number, since it is smaller than the sum of its proper divisors (5228873824).

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

3002424320 is an equidigital number, since it uses as much as digits as its factorization.

3002424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83805 (or 83787 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3002424320 is about 54794.3821937979. The cubic root of 3002424320 is about 1442.6379628696.

Adding to 3002424320 its reverse (234242003), we get a palindrome (3236666323).

The spelling of 3002424320 in words is "three billion, two million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 5120 7168 8960 17920 35840 83773 167546 335092 418865 586411 670184 837730 1172822 1340368 1675460 2345644 2680736 2932055 3350920 4691288 5361472 5864110 6701840 9382576 10722944 11728220 13403680 18765152 21445888 23456440 26807360 37530304 42891776 46912880 53614720 75060608 85783552 93825760 107229440 150121216 187651520 214458880 300242432 375303040 428917760 600484864 750606080 1501212160 3002424320