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2034355104 = 253229243577
BaseRepresentation
bin111100101000001…
…1100101110100000
312020202222221120100
41321100130232200
513131243330404
6533511142400
7101261506305
oct17120345640
95222887510
102034355104
11954382111
12489374a00
13265615722
1415427d0ac
15bd8ebd39
hex7941cba0

2034355104 has 72 divisors (see below), whose sum is σ = 5984711460. Its totient is φ = 654732288.

The previous prime is 2034355093. The next prime is 2034355109. The reversal of 2034355104 is 4015534302.

2034355104 is a `hidden beast` number, since 203 + 4 + 355 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2008832400 + 25522704 = 44820^2 + 5052^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2034355109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113437 + ... + 130140.

Almost surely, 22034355104 is an apocalyptic number.

2034355104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2034355104 is an abundant number, since it is smaller than the sum of its proper divisors (3950356356).

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

2034355104 is a wasteful number, since it uses less digits than its factorization.

2034355104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243622 (or 243611 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2034355104 is about 45103.8258244243. The cubic root of 2034355104 is about 1267.0942524436.

Adding to 2034355104 its reverse (4015534302), we get a palindrome (6049889406).

The spelling of 2034355104 in words is "two billion, thirty-four million, three hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 243577 487154 730731 974308 1461462 1948616 2192193 2922924 3897232 4384386 5845848 7063733 7794464 8768772 11691696 14127466 17537544 21191199 23383392 28254932 35075088 42382398 56509864 63573597 70150176 84764796 113019728 127147194 169529592 226039456 254294388 339059184 508588776 678118368 1017177552 2034355104