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1353204420 = 2235174572903
BaseRepresentation
bin101000010101000…
…0100001011000100
310111022021220111020
41100222010023010
510232410020140
6342135511140
745351022251
oct12052041304
93438256436
101353204420
11634937567
123192284b0
13187475a99
14cba10428
157dbee6d0
hex50a842c4

1353204420 has 96 divisors (see below), whose sum is σ = 4022016768. Its totient is φ = 338767872.

The previous prime is 1353204389. The next prime is 1353204449. The reversal of 1353204420 is 244023531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464689 + ... + 467591.

It is an arithmetic number, because the mean of its divisors is an integer number (41896008).

Almost surely, 21353204420 is an apocalyptic number.

1353204420 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 1353204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011008384).

1353204420 is an abundant number, since it is smaller than the sum of its proper divisors (2668812348).

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

1353204420 is a wasteful number, since it uses less digits than its factorization.

1353204420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1353204420 is about 36785.9269286503. The cubic root of 1353204420 is about 1106.0832167089.

Adding to 1353204420 its reverse (244023531), we get a palindrome (1597227951).

The spelling of 1353204420 in words is "one billion, three hundred fifty-three million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 457 510 914 1020 1371 1828 2285 2742 2903 4570 5484 5806 6855 7769 8709 9140 11612 13710 14515 15538 17418 23307 27420 29030 31076 34836 38845 43545 46614 49351 58060 77690 87090 93228 98702 116535 148053 155380 174180 197404 233070 246755 296106 466140 493510 592212 740265 987020 1326671 1480530 2653342 2961060 3980013 5306684 6633355 7960026 13266710 15920052 19900065 22553407 26533420 39800130 45106814 67660221 79600260 90213628 112767035 135320442 225534070 270640884 338301105 451068140 676602210 1353204420