Search a number
-
+
34013031003 = 397435741
BaseRepresentation
bin11111101011010101…
…011010101001011011
310020210102112000000000
4133223111122221123
51024124313443003
623343025144043
72312605664460
oct375325325133
9106712460000
1034013031003
1113474518686
126712a8b023
1332908c9b63
1419093d1667
15d410c51a3
hex7eb55aa5b

34013031003 has 80 divisors (see below), whose sum is σ = 59673436416. Its totient is φ = 18980710560.

The previous prime is 34013031001. The next prime is 34013031067. The reversal of 34013031003 is 30013031043.

34013031003 is a `hidden beast` number, since 340 + 13 + 0 + 310 + 0 + 3 = 666.

It is not a de Polignac number, because 34013031003 - 21 = 34013031001 is a prime.

It is a super-2 number, since 2×340130310032 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34013031001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5921713 + ... + 5927453.

Almost surely, 234013031003 is an apocalyptic number.

34013031003 is a deficient number, since it is larger than the sum of its proper divisors (25660405413).

34013031003 is an frugal number, since it uses more digits than its factorization.

34013031003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5818 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 34013031003 its reverse (30013031043), we get a palindrome (64026062046).

The spelling of 34013031003 in words is "thirty-four billion, thirteen million, thirty-one thousand, three".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 243 301 387 567 729 903 1161 1701 2187 2709 3483 5103 5741 6561 8127 10449 15309 17223 19683 24381 31347 40187 45927 51669 73143 94041 120561 137781 155007 219429 246863 282123 361683 465021 658287 740589 846369 1085049 1395063 1728041 1974861 2221767 3255147 4185189 5184123 5924583 6665301 9765441 12555567 15552369 19995903 29296323 37666701 46657107 59987709 87888969 113000103 139971321 179963127 263666907 419913963 539889381 791000721 1259741889 1619668143 3779225667 4859004429 11337677001 34013031003