Search a number
-
+
2347253244 = 2232719148767
BaseRepresentation
bin1000101111101000…
…0011110111111100
320001120202211010100
42023322003313330
514301344100434
61024525441100
7112111215630
oct21372036774
96046684110
102347253244
11aa4a66116
12556110190
132b53ab25b
14183a4cdc0
15db107699
hex8be83dfc

2347253244 has 72 divisors (see below), whose sum is σ = 6816595968. Its totient is φ = 667118880.

The previous prime is 2347253213. The next prime is 2347253263. The reversal of 2347253244 is 4423527432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2347253199 and 2347253208.

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 23 ways as a sum of consecutive naturals, for example, 23749 + ... + 72515.

It is an arithmetic number, because the mean of its divisors is an integer number (94674944).

Almost surely, 22347253244 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 2347253244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408297984).

2347253244 is an abundant number, since it is smaller than the sum of its proper divisors (4469342724).

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

2347253244 is a wasteful number, since it uses less digits than its factorization.

2347253244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48975 (or 48970 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 2347253244 is about 48448.4596659171. The cubic root of 2347253244 is about 1328.9847046293.

The spelling of 2347253244 in words is "two billion, three hundred forty-seven million, two hundred fifty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 191 252 382 573 764 1146 1337 1719 2292 2674 3438 4011 5348 6876 8022 12033 16044 24066 48132 48767 97534 146301 195068 292602 341369 438903 585204 682738 877806 1024107 1365476 1755612 2048214 3072321 4096428 6144642 9314497 12289284 18628994 27943491 37257988 55886982 65201479 83830473 111773964 130402958 167660946 195604437 260805916 335321892 391208874 586813311 782417748 1173626622 2347253244