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2034364320 = 253251412753
BaseRepresentation
bin111100101000001…
…1110111110100000
312020210000102012200
41321100132332200
513131244124240
6533511253200
7101261545212
oct17120367640
95223012180
102034364320
1195438902a
1248937a200
13265619991
141542825b2
15bd8ee930
hex7941efa0

2034364320 has 72 divisors (see below), whose sum is σ = 6942273156. Its totient is φ = 542496768.

The previous prime is 2034364289. The next prime is 2034364331. The reversal of 2034364320 is 234634302.

It is a happy number.

2034364320 is a `hidden beast` number, since 203 + 436 + 4 + 3 + 20 = 666.

2034364320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1754939664 + 279424656 = 41892^2 + 16716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 704937 + ... + 707816.

Almost surely, 22034364320 is an apocalyptic number.

2034364320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034364320 is an abundant number, since it is smaller than the sum of its proper divisors (4907908836).

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

2034364320 is a wasteful number, since it uses less digits than its factorization.

2034364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412774 (or 1412763 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 2034364320 is about 45103.9279885910. The cubic root of 2034364320 is about 1267.0961658302.

Adding to 2034364320 its reverse (234634302), we get a palindrome (2268998622).

The spelling of 2034364320 in words is "two billion, thirty-four million, three hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1412753 2825506 4238259 5651012 7063765 8476518 11302024 12714777 14127530 16953036 21191295 22604048 25429554 28255060 33906072 42382590 45208096 50859108 56510120 63573885 67812144 84765180 101718216 113020240 127147770 135624288 169530360 203436432 226040480 254295540 339060720 406872864 508591080 678121440 1017182160 2034364320