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4134334204 = 2271113279427
BaseRepresentation
bin1111011001101100…
…1110111011111100
3101200010110221100001
43312123032323330
531431342143304
61522125044044
7204311155330
oct36633167374
911603427301
104134334204
1118317a6530
129746b6624
1350b6c6c00
142b31217c0
15192e5cda4
hexf66ceefc

4134334204 has 72 divisors (see below), whose sum is σ = 9767737728. Its totient is φ = 1486854720.

The previous prime is 4134334187. The next prime is 4134334219. The reversal of 4134334204 is 4024334314.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12339 + ... + 91765.

It is an arithmetic number, because the mean of its divisors is an integer number (135663024).

Almost surely, 24134334204 is an apocalyptic number.

4134334204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134334204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883868864).

4134334204 is an abundant number, since it is smaller than the sum of its proper divisors (5633403524).

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

4134334204 is a wasteful number, since it uses less digits than its factorization.

4134334204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79475 (or 79460 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 4134334204 is about 64298.7885111376. The cubic root of 4134334204 is about 1604.9759417724.

Adding to 4134334204 its reverse (4024334314), we get a palindrome (8158668518).

The spelling of 4134334204 in words is "four billion, one hundred thirty-four million, three hundred thirty-four thousand, two hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 338 364 572 676 1001 1183 1859 2002 2366 3718 4004 4732 7436 13013 26026 52052 79427 158854 317708 555989 873697 1032551 1111978 1747394 2065102 2223956 3494788 4130204 6115879 7227857 11358061 12231758 13423163 14455714 22716122 24463516 26846326 28911428 45432244 53692652 79506427 93962141 147654793 159012854 187924282 295309586 318025708 375848564 590619172 1033583551 2067167102 4134334204