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1423034100 = 2232525329833
BaseRepresentation
bin101010011010001…
…1100011011110100
310200011200121210200
41110310130123310
510403244042400
6353112320500
750156406315
oct12464343364
93604617720
101423034100
116702a1644
123386a3130
13198a84c17
14d6dca60c
1584de4b00
hex54d1c6f4

1423034100 has 108 divisors (see below), whose sum is σ = 4544732556. Its totient is φ = 372303360.

The previous prime is 1423034099. The next prime is 1423034101. The reversal of 1423034100 is 14303241.

It is an interprime number because it is at equal distance from previous prime (1423034099) and next prime (1423034101).

It can be written as a sum of positive squares in 6 ways, for example, as 5963364 + 1417070736 = 2442^2 + 37644^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1423034101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32784 + ... + 62616.

It is an arithmetic number, because the mean of its divisors is an integer number (42080857).

Almost surely, 21423034100 is an apocalyptic number.

1423034100 is a gapful number since it is divisible by the number (10) 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 1423034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272366278).

1423034100 is an abundant number, since it is smaller than the sum of its proper divisors (3121698456).

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

1423034100 is a wasteful number, since it uses less digits than its factorization.

1423034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29906 (or 29896 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1423034100 is about 37723.1242078384. The cubic root of 1423034100 is about 1124.7908351877.

Adding to 1423034100 its reverse (14303241), we get a palindrome (1437337341).

The spelling of 1423034100 in words is "one billion, four hundred twenty-three million, thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 150 159 180 212 225 265 300 318 450 477 530 636 795 900 954 1060 1325 1590 1908 2385 2650 3180 3975 4770 5300 7950 9540 11925 15900 23850 29833 47700 59666 89499 119332 149165 178998 268497 298330 357996 447495 536994 596660 745825 894990 1073988 1342485 1491650 1581149 1789980 2237475 2684970 2983300 3162298 4474950 4743447 5369940 6324596 6712425 7905745 8949900 9486894 13424850 14230341 15811490 18973788 23717235 26849700 28460682 31622980 39528725 47434470 56921364 71151705 79057450 94868940 118586175 142303410 158114900 237172350 284606820 355758525 474344700 711517050 1423034100