Search a number
-
+
3472304952 = 233614315503
BaseRepresentation
bin1100111011110111…
…0010101100111000
322221222202100221010
43032331302230320
524102402224302
61332315313520
7152022051024
oct31675625470
98858670833
103472304952
111522031116
1280aa4b8a0
134344c081c
1424d22d384
15154c8b16c
hexcef72b38

3472304952 has 64 divisors (see below), whose sum is σ = 8845148160. Its totient is φ = 1135612800.

The previous prime is 3472304939. The next prime is 3472304987. The reversal of 3472304952 is 2594032743.

It is a self number, because there is not a number n which added to its sum of digits gives 3472304952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628233 + ... + 633735.

It is an arithmetic number, because the mean of its divisors is an integer number (138205440).

Almost surely, 23472304952 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 3472304952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422574080).

3472304952 is an abundant number, since it is smaller than the sum of its proper divisors (5372843208).

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

3472304952 is a wasteful number, since it uses less digits than its factorization.

3472304952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 3472304952 is about 58926.2670801401. The cubic root of 3472304952 is about 1514.2791869966.

The spelling of 3472304952 in words is "three billion, four hundred seventy-two million, three hundred four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 431 488 732 862 1293 1464 1724 2586 3448 5172 5503 10344 11006 16509 22012 26291 33018 44024 52582 66036 78873 105164 132072 157746 210328 315492 335683 630984 671366 1007049 1342732 2014098 2371793 2685464 4028196 4743586 7115379 8056392 9487172 14230758 18974344 28461516 56923032 144679373 289358746 434038119 578717492 868076238 1157434984 1736152476 3472304952