Search a number
-
+
245178368 = 2131732
BaseRepresentation
bin11101001110100…
…10000000000000
3122002100100111022
432213102000000
51000231201433
640155005012
76034660511
oct1647220000
9562310438
10245178368
11116440156
126a139768
133ba44b76
14247c2a08
15167d0698
hexe9d2000

245178368 has 42 divisors (see below), whose sum is σ = 493177449. Its totient is φ = 121880576.

The previous prime is 245178359. The next prime is 245178377. The reversal of 245178368 is 863871542.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (245178359) and next prime (245178377).

It can be written as a sum of positive squares in 2 ways, for example, as 192876544 + 52301824 = 13888^2 + 7232^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11072.

It is a super-2 number, since 2×2451783682 = 120224864270286848, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1417130 + ... + 1417302.

Almost surely, 2245178368 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 245178368

245178368 is an abundant number, since it is smaller than the sum of its proper divisors (247999081).

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

245178368 is an frugal number, since it uses more digits than its factorization.

245178368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 175 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 245178368 is about 15658.1725625949. The cubic root of 245178368 is about 625.8842889561.

The spelling of 245178368 in words is "two hundred forty-five million, one hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1024 1384 2048 2768 4096 5536 8192 11072 22144 29929 44288 59858 88576 119716 177152 239432 354304 478864 708608 957728 1417216 1915456 3830912 7661824 15323648 30647296 61294592 122589184 245178368