Search a number
-
+
34722464 = 257379409
BaseRepresentation
bin1000010001110…
…1001010100000
32102100002021012
42010131022200
532342104324
63240120052
7601064450
oct204351240
972302235
1034722464
1118666557
12b766028
13726964a
14487bd60
1530ad20e
hex211d2a0

34722464 has 48 divisors (see below), whose sum is σ = 78523200. Its totient is φ = 14805504.

The previous prime is 34722461. The next prime is 34722521. The reversal of 34722464 is 46422743.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34722464.

It is not an unprimeable number, because it can be changed into a prime (34722461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84692 + ... + 85100.

It is an arithmetic number, because the mean of its divisors is an integer number (1635900).

Almost surely, 234722464 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 34722464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39261600).

34722464 is an abundant number, since it is smaller than the sum of its proper divisors (43800736).

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

34722464 is a wasteful number, since it uses less digits than its factorization.

34722464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its digits is 32256, while the sum is 32.

The square root of 34722464 is about 5892.5770253769. The cubic root of 34722464 is about 326.2397273180.

The spelling of 34722464 in words is "thirty-four million, seven hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 379 409 758 818 1516 1636 2653 2863 3032 3272 5306 5726 6064 6544 10612 11452 12128 13088 21224 22904 42448 45808 84896 91616 155011 310022 620044 1085077 1240088 2170154 2480176 4340308 4960352 8680616 17361232 34722464