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1442330360 = 235476112577
BaseRepresentation
bin101010111111000…
…0011011011111000
310201111222222021222
41111332003123320
510423214032420
6355042051212
750512414532
oct12576033370
93644888258
101442330360
11680181169
12343049b08
1319ca7cc23
14d97b0852
1586957225
hex55f836f8

1442330360 has 64 divisors (see below), whose sum is σ = 3368891520. Its totient is φ = 555356160.

The previous prime is 1442330353. The next prime is 1442330363. The reversal of 1442330360 is 630332441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442330363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108392 + ... + 120968.

It is an arithmetic number, because the mean of its divisors is an integer number (52638930).

Almost surely, 21442330360 is an apocalyptic number.

1442330360 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 1442330360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684445760).

1442330360 is an abundant number, since it is smaller than the sum of its proper divisors (1926561160).

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

1442330360 is a wasteful number, since it uses less digits than its factorization.

1442330360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12696 (or 12692 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 1442330360 is about 37978.0246985016. The cubic root of 1442330360 is about 1129.8520598869.

The spelling of 1442330360 in words is "one billion, four hundred forty-two million, three hundred thirty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 47 61 94 122 188 235 244 305 376 470 488 610 940 1220 1880 2440 2867 5734 11468 12577 14335 22936 25154 28670 50308 57340 62885 100616 114680 125770 251540 503080 591119 767197 1182238 1534394 2364476 2955595 3068788 3835985 4728952 5911190 6137576 7671970 11822380 15343940 23644760 30687880 36058259 72116518 144233036 180291295 288466072 360582590 721165180 1442330360