Search a number
-
+
34123464 = 2333239661
BaseRepresentation
bin1000001000101…
…0111011001000
32101012122121000
42002022323020
532213422324
63215215000
7563021214
oct202127310
971178530
1034123464
1118297511
12b517460
1370b9acb
144763944
152ee09c9
hex208aec8

34123464 has 64 divisors (see below), whose sum is σ = 95328000. Its totient is φ = 11309760.

The previous prime is 34123447. The next prime is 34123489. The reversal of 34123464 is 46432143.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51294 + ... + 51954.

It is an arithmetic number, because the mean of its divisors is an integer number (1489500).

Almost surely, 234123464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34123464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47664000).

34123464 is an abundant number, since it is smaller than the sum of its proper divisors (61204536).

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

34123464 is a wasteful number, since it uses less digits than its factorization.

34123464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 34123464 is about 5841.5292518312. The cubic root of 34123464 is about 324.3528392091.

The spelling of 34123464 in words is "thirty-four million, one hundred twenty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 239 478 661 717 956 1322 1434 1912 1983 2151 2644 2868 3966 4302 5288 5736 5949 6453 7932 8604 11898 12906 15864 17208 17847 23796 25812 35694 47592 51624 71388 142776 157979 315958 473937 631916 947874 1263832 1421811 1895748 2843622 3791496 4265433 5687244 8530866 11374488 17061732 34123464