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634220340 = 2235131575179
BaseRepresentation
bin100101110011010…
…110111100110100
31122012101201202020
4211303112330310
52244330022330
6142533313140
721500532615
oct4563267464
91565351666
10634220340
112a6001146
121584957b0
13a151a810
1460333c0c
153aa2c210
hex25cd6f34

634220340 has 96 divisors (see below), whose sum is σ = 1924970880. Its totient is φ = 155091456.

The previous prime is 634220339. The next prime is 634220341. The reversal of 634220340 is 43022436.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (634220339) and next prime (634220341).

It is a self number, because there is not a number n which added to its sum of digits gives 634220340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634220341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119871 + ... + 125049.

It is an arithmetic number, because the mean of its divisors is an integer number (20051780).

Almost surely, 2634220340 is an apocalyptic number.

634220340 is a gapful number since it is divisible by the number (60) 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 634220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962485440).

634220340 is an abundant number, since it is smaller than the sum of its proper divisors (1290750540).

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

634220340 is a wasteful number, since it uses less digits than its factorization.

634220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 634220340 is about 25183.7316535894. The cubic root of 634220340 is about 859.1718817631.

Adding to 634220340 its reverse (43022436), we get a palindrome (677242776).

The spelling of 634220340 in words is "six hundred thirty-four million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 157 195 260 314 390 471 628 780 785 942 1570 1884 2041 2355 3140 4082 4710 5179 6123 8164 9420 10205 10358 12246 15537 20410 20716 24492 25895 30615 31074 40820 51790 61230 62148 67327 77685 103580 122460 134654 155370 201981 269308 310740 336635 403962 673270 807924 813103 1009905 1346540 1626206 2019810 2439309 3252412 4039620 4065515 4878618 8131030 9757236 10570339 12196545 16262060 21140678 24393090 31711017 42281356 48786180 52851695 63422034 105703390 126844068 158555085 211406780 317110170 634220340