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4140340434 = 23571971237
BaseRepresentation
bin1111011011001000…
…1001010011010010
3101200112210002100000
43312302021103102
531434411343214
61522501510430
7204413212236
oct36662112322
911615702300
104140340434
11183512905a
12976712416
1350ca1a9a9
142b3c465c6
15193747809
hexf6c894d2

4140340434 has 96 divisors (see below), whose sum is σ = 9538978176. Its totient is φ = 1345559040.

The previous prime is 4140340417. The next prime is 4140340459. The reversal of 4140340434 is 4340430414.

4140340434 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 Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4140340398 and 4140340407.

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, 3346464 + ... + 3347700.

It is an arithmetic number, because the mean of its divisors is an integer number (99364356).

Almost surely, 24140340434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140340434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769489088).

4140340434 is an abundant number, since it is smaller than the sum of its proper divisors (5398637742).

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

4140340434 is a wasteful number, since it uses less digits than its factorization.

4140340434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4140340434 is about 64345.4771837151. The cubic root of 4140340434 is about 1605.7527851351.

Adding to 4140340434 its reverse (4340430414), we get a palindrome (8480770848).

The spelling of 4140340434 in words is "four billion, one hundred forty million, three hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 71 81 97 142 162 194 213 243 291 426 486 582 639 873 1237 1278 1746 1917 2474 2619 3711 3834 5238 5751 6887 7422 7857 11133 11502 13774 15714 17253 20661 22266 23571 33399 34506 41322 47142 61983 66798 87827 100197 119989 123966 175654 185949 200394 239978 263481 300591 359967 371898 526962 557847 601182 719934 790443 1079901 1115694 1580886 1673541 2159802 2371329 3239703 3347082 4742658 6479406 7113987 8519219 9719109 14227974 17038438 19438218 21341961 25557657 29157327 42683922 51115314 58314654 76672971 153345942 230018913 460037826 690056739 1380113478 2070170217 4140340434