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2801630430 = 234517203459
BaseRepresentation
bin1010011011111101…
…0111110011011110
321020020202120110000
42212333113303132
521214204133210
61142000355130
7126266315514
oct24677276336
97206676400
102801630430
1112084a1455
12662315aa6
1335857b3b1
141c812a4b4
15115e5cac0
hexa6fd7cde

2801630430 has 80 divisors (see below), whose sum is σ = 7976445840. Its totient is φ = 703150848.

The previous prime is 2801630423. The next prime is 2801630431. The reversal of 2801630430 is 340361082.

It is a happy number.

2801630430 is a `hidden beast` number, since 28 + 0 + 1 + 630 + 4 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2801630394 and 2801630403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801630431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87960 + ... + 115499.

It is an arithmetic number, because the mean of its divisors is an integer number (99705573).

Almost surely, 22801630430 is an apocalyptic number.

2801630430 is an abundant number, since it is smaller than the sum of its proper divisors (5174815410).

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

2801630430 is a wasteful number, since it uses less digits than its factorization.

2801630430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203495 (or 203486 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2801630430 is about 52930.4300946063. The cubic root of 2801630430 is about 1409.7332677885.

The spelling of 2801630430 in words is "two billion, eight hundred one million, six hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 13770 203459 406918 610377 1017295 1220754 1831131 2034590 3051885 3458803 3662262 5493393 6103770 6917606 9155655 10376409 10986786 16480179 17294015 18311310 20752818 27466965 31129227 32960358 34588030 51882045 54933930 62258454 82400895 93387681 103764090 155646135 164801790 186775362 280163043 311292270 466938405 560326086 933876810 1400815215 2801630430