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4041234330 = 2357226310453
BaseRepresentation
bin1111000011100000…
…0101011110011010
3101102122021222022120
43300320011132122
531234023444310
61505001402110
7202100632200
oct36070053632
911378258276
104041234330
111794198191
12949499336
134c532b023
142a4a09070
15189bbcb70
hexf0e0579a

4041234330 has 96 divisors (see below), whose sum is σ = 11326449024. Its totient is φ = 920110464.

The previous prime is 4041234283. The next prime is 4041234341. The reversal of 4041234330 is 334321404.

4041234330 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4041234330.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381384 + ... + 391836.

It is an arithmetic number, because the mean of its divisors is an integer number (117983844).

Almost surely, 24041234330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041234330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663224512).

4041234330 is an abundant number, since it is smaller than the sum of its proper divisors (7285214694).

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

4041234330 is a wasteful number, since it uses less digits than its factorization.

4041234330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4041234330 is about 63570.7033939377. The cubic root of 4041234330 is about 1592.8370336853.

Adding to 4041234330 its reverse (334321404), we get a palindrome (4375555734).

The spelling of 4041234330 in words is "four billion, forty-one million, two hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 263 294 490 526 735 789 1315 1470 1578 1841 2630 3682 3945 5523 7890 9205 10453 11046 12887 18410 20906 25774 27615 31359 38661 52265 55230 62718 64435 73171 77322 104530 128870 146342 156795 193305 219513 313590 365855 386610 439026 512197 731710 1024394 1097565 1536591 2195130 2560985 2749139 3073182 5121970 5498278 7682955 8247417 13745695 15365910 16494834 19243973 27491390 38487946 41237085 57731919 82474170 96219865 115463838 134707811 192439730 269415622 288659595 404123433 577319190 673539055 808246866 1347078110 2020617165 4041234330