Search a number
-
+
34412231000 = 235374916033
BaseRepresentation
bin100000000011001000…
…001111100101011000
310021211020200110110002
4200003020033211120
51030434012343000
623450405312132
72325524065040
oct400310174530
9107736613402
1034412231000
1113659897534
126804705648
13332551b284
141946428720
15d6617b8d5
hex80320f958

34412231000 has 64 divisors (see below), whose sum is σ = 92028156480. Its totient is φ = 11798476800.

The previous prime is 34412230991. The next prime is 34412231017. The reversal of 34412231000 is 13221443.

It is a super-2 number, since 2×344122310002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 2451017 + ... + 2465016.

It is an arithmetic number, because the mean of its divisors is an integer number (1437939945).

Almost surely, 234412231000 is an apocalyptic number.

It is an amenable number.

34412231000 is an abundant number, since it is smaller than the sum of its proper divisors (57615925480).

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

34412231000 is a wasteful number, since it uses less digits than its factorization.

34412231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916061 (or 4916047 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34412231000 its reverse (13221443), we get a palindrome (34425452443).

The spelling of 34412231000 in words is "thirty-four billion, four hundred twelve million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 4916033 9832066 19664132 24580165 34412231 39328264 49160330 68824462 98320660 122900825 137648924 172061155 196641320 245801650 275297848 344122310 491603300 614504125 688244620 860305775 983206600 1229008250 1376489240 1720611550 2458016500 3441223100 4301528875 4916033000 6882446200 8603057750 17206115500 34412231000