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1353244420 = 2251116736833
BaseRepresentation
bin101000010101000…
…1101111100000100
310111022100221100201
41100222031330010
510232412310140
6342140420244
745351250003
oct12052157404
93438327321
101353244420
11634964620
12319247684
1318748b058
14cba20c3a
157dc0b49a
hex50a8df04

1353244420 has 48 divisors (see below), whose sum is σ = 3118808448. Its totient is φ = 489128960.

The previous prime is 1353244411. The next prime is 1353244427. The reversal of 1353244420 is 244423531.

It is a happy number.

It is a super-2 number, since 2×13532444202 = 3662540920522272800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1353244427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18324 + ... + 55156.

It is an arithmetic number, because the mean of its divisors is an integer number (64975176).

Almost surely, 21353244420 is an apocalyptic number.

1353244420 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 1353244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559404224).

1353244420 is an abundant number, since it is smaller than the sum of its proper divisors (1765564028).

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

1353244420 is a wasteful number, since it uses less digits than its factorization.

1353244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37020 (or 37018 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 1353244420 is about 36786.4706108102. The cubic root of 1353244420 is about 1106.0941150112.

Adding to 1353244420 its reverse (244423531), we get a palindrome (1597667951).

The spelling of 1353244420 in words is "one billion, three hundred fifty-three million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 9185 18370 36740 36833 73666 147332 184165 368330 405163 736660 810326 1620652 2025815 4051630 6151111 8103260 12302222 24604444 30755555 61511110 67662221 123022220 135324442 270648884 338311105 676622210 1353244420