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4034114304 = 28311477523
BaseRepresentation
bin1111000001110011…
…1011001100000000
3101102010220020110220
43300130323030000
531230213124204
61504145023040
7201653256123
oct36034731400
911363806426
104034114304
111790174870
12947024a80
134c3a072ac
142a3ab43ba
151892631d9
hexf073b300

4034114304 has 72 divisors (see below), whose sum is σ = 11712708672. Its totient is φ = 1222456320.

The previous prime is 4034114299. The next prime is 4034114311.

4034114304 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230314 + ... + 247209.

Almost surely, 24034114304 is an apocalyptic number.

4034114304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4034114304 is an abundant number, since it is smaller than the sum of its proper divisors (7678594368).

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

4034114304 is a wasteful number, since it uses less digits than its factorization.

4034114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477553 (or 477539 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4034114304 is about 63514.6778626799. The cubic root of 4034114304 is about 1591.9010401186.

It can be divided in two parts, 40341 and 14304, that added together give a palindrome (54645).

The spelling of 4034114304 in words is "four billion, thirty-four million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 477523 955046 1432569 1910092 2865138 3820184 5252753 5730276 7640368 10505506 11460552 15280736 15758259 21011012 22921104 30561472 31516518 42022024 45842208 61122944 63033036 84044048 91684416 122245888 126066072 168088096 183368832 252132144 336176192 366737664 504264288 672352384 1008528576 1344704768 2017057152 4034114304