Search a number
-
+
4000344012 = 2232715874381
BaseRepresentation
bin1110111001110000…
…0110011111001100
3101022210100112100100
43232130012133030
531143042002022
61500541131100
7201063235350
oct35634063714
911283315310
104000344012
1117730a9735
12937859a90
134b9a12182
1429d403460
151862e21ac
hexee7067cc

4000344012 has 36 divisors (see below), whose sum is σ = 11556550096. Its totient is φ = 1142955360.

The previous prime is 4000343959. The next prime is 4000344031. The reversal of 4000344012 is 2104430004.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40003440122 = 32005504428688512288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7936939 + ... + 7937442.

Almost surely, 24000344012 is an apocalyptic number.

4000344012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4000344012 is an abundant number, since it is smaller than the sum of its proper divisors (7556206084).

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

4000344012 is a wasteful number, since it uses less digits than its factorization.

4000344012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15874398 (or 15874393 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4000344012 is about 63248.2727985516. The cubic root of 4000344012 is about 1587.4465577479.

Adding to 4000344012 its reverse (2104430004), we get a palindrome (6104774016).

The spelling of 4000344012 in words is "four billion, three hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 15874381 31748762 47623143 63497524 95246286 111120667 142869429 190492572 222241334 285738858 333362001 444482668 571477716 666724002 1000086003 1333448004 2000172006 4000344012