Search a number
-
+
246328640 = 2651745281
BaseRepresentation
bin11101010111010…
…10110101000000
3122011111210100222
432223222311000
51001030004030
640235402212
76050521205
oct1653526500
9564453328
10246328640
11117056398
126a5b3368
133c0585bc
1424a01cac
151695b3e5
hexeaead40

246328640 has 56 divisors (see below), whose sum is σ = 621087912. Its totient is φ = 92733440.

The previous prime is 246328637. The next prime is 246328651. The reversal of 246328640 is 46823642.

246328640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 95726656 + 150601984 = 9784^2 + 12272^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 246328640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17201 + ... + 28080.

Almost surely, 2246328640 is an apocalyptic number.

246328640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

246328640 is an abundant number, since it is smaller than the sum of its proper divisors (374759272).

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

246328640 is a wasteful number, since it uses less digits than its factorization.

246328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45315 (or 45305 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 246328640 is about 15694.8603052082. The cubic root of 246328640 is about 626.8615560033.

The spelling of 246328640 in words is "two hundred forty-six million, three hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 45281 90562 181124 226405 362248 452810 724496 769777 905620 1448992 1539554 1811240 2897984 3079108 3622480 3848885 6158216 7244960 7697770 12316432 14489920 15395540 24632864 30791080 49265728 61582160 123164320 246328640