Search a number
-
+
1346490304 = 26172431693
BaseRepresentation
bin101000001000001…
…1100111111000000
310110211122210110021
41100100130333000
510224200142204
6341335543224
745236656465
oct12020347700
93424583407
101346490304
11631071105
12316b2ab14
13185c64a33
14cab8366c
157d325154
hex5041cfc0

1346490304 has 84 divisors (see below), whose sum is σ = 2906084104. Its totient is φ = 618541056.

The previous prime is 1346490293. The next prime is 1346490323. The reversal of 1346490304 is 4030946431.

It is a super-2 number, since 2×13464903042 = 3626072277532024832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 1346490304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 794482 + ... + 796174.

Almost surely, 21346490304 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 1346490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453042052).

1346490304 is an abundant number, since it is smaller than the sum of its proper divisors (1559593800).

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

1346490304 is a wasteful number, since it uses less digits than its factorization.

1346490304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 1346490304 is about 36694.5541463580. The cubic root of 1346490304 is about 1104.2508531692.

The spelling of 1346490304 in words is "one billion, three hundred forty-six million, four hundred ninety thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 136 172 272 289 344 544 578 688 731 1088 1156 1376 1462 1693 2312 2752 2924 3386 4624 5848 6772 9248 11696 12427 13544 18496 23392 24854 27088 28781 46784 49708 54176 57562 72799 99416 108352 115124 145598 198832 230248 291196 397664 460496 489277 582392 795328 920992 978554 1164784 1237583 1841984 1957108 2329568 2475166 3914216 4659136 4950332 7828432 9900664 15656864 19801328 21038911 31313728 39602656 42077822 79205312 84155644 168311288 336622576 673245152 1346490304