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4325405340 = 2235892413361
BaseRepresentation
bin1000000011101000…
…00111001010011100
3102011110000100122210
410001310013022130
532324300432330
61553112240420
7212121224124
oct40164071234
912143010583
104325405340
11191a640063
12a086a0110
1353c176059
142d065bc84
151a4b018b0
hex101d0729c

4325405340 has 96 divisors (see below), whose sum is σ = 12301692480. Its totient is φ = 1135411200.

The previous prime is 4325405333. The next prime is 4325405351. The reversal of 4325405340 is 435045234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4325405298 and 4325405307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1285260 + ... + 1288620.

It is an arithmetic number, because the mean of its divisors is an integer number (128142630).

Almost surely, 24325405340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4325405340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150846240).

4325405340 is an abundant number, since it is smaller than the sum of its proper divisors (7976287140).

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

4325405340 is a wasteful number, since it uses less digits than its factorization.

4325405340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 4325405340 is about 65767.8138605808. The cubic root of 4325405340 is about 1629.3295623109.

It can be divided in two parts, 432540 and 5340, that multiplied together give a square (2309763600 = 480602).

The spelling of 4325405340 in words is "four billion, three hundred twenty-five million, four hundred five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 241 267 356 445 482 534 723 890 964 1068 1205 1335 1446 1780 2410 2670 2892 3361 3615 4820 5340 6722 7230 10083 13444 14460 16805 20166 21449 33610 40332 42898 50415 64347 67220 85796 100830 107245 128694 201660 214490 257388 299129 321735 428980 598258 643470 810001 897387 1196516 1286940 1495645 1620002 1794774 2430003 2991290 3240004 3589548 4050005 4486935 4860006 5982580 8100010 8973870 9720012 12150015 16200020 17947740 24300030 48600060 72090089 144180178 216270267 288360356 360450445 432540534 720900890 865081068 1081351335 1441801780 2162702670 4325405340