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1353339144 = 233319329761
BaseRepresentation
bin101000010101010…
…0101000100001000
310111022112202022000
41100222211010020
510232423323034
6342142431000
745352123113
oct12052450410
93438482260
101353339144
11634a19803
12319292460
131874c21c1
14cba4757a
157dc29599
hex50aa5108

1353339144 has 64 divisors (see below), whose sum is σ = 3957144000. Its totient is φ = 427368960.

The previous prime is 1353339139. The next prime is 1353339157. The reversal of 1353339144 is 4419333531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1353339099 and 1353339108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160777 + ... + 168984.

It is an arithmetic number, because the mean of its divisors is an integer number (61830375).

Almost surely, 21353339144 is an apocalyptic number.

It is an amenable number.

1353339144 is an abundant number, since it is smaller than the sum of its proper divisors (2603804856).

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

1353339144 is a wasteful number, since it uses less digits than its factorization.

1353339144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329795 (or 329785 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 1353339144 is about 36787.7580724893. The cubic root of 1353339144 is about 1106.1199224246.

The spelling of 1353339144 in words is "one billion, three hundred fifty-three million, three hundred thirty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 329761 659522 989283 1319044 1978566 2638088 2967849 3957132 5935698 6265459 7914264 8903547 11871396 12530918 17807094 18796377 23742792 25061836 35614188 37592754 50123672 56389131 71228376 75185508 112778262 150371016 169167393 225556524 338334786 451113048 676669572 1353339144