Search a number
-
+
6410420304 = 243296616967
BaseRepresentation
bin1011111100001011…
…10100000001010000
3121112202100002111020
411332011310001100
5101112031422204
62540033315440
7314566450011
oct57605640120
917482302436
106410420304
11279a573722
1212aaa05b80
137b2118312
1444b527008
15277ba8bd9
hex17e174050

6410420304 has 80 divisors (see below), whose sum is σ = 17159675520. Its totient is φ = 2059706880.

The previous prime is 6410420297. The next prime is 6410420327. The reversal of 6410420304 is 4030240146.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916629 + ... + 923595.

It is an arithmetic number, because the mean of its divisors is an integer number (214495944).

Almost surely, 26410420304 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 6410420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579837760).

6410420304 is an abundant number, since it is smaller than the sum of its proper divisors (10749255216).

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

6410420304 is a wasteful number, since it uses less digits than its factorization.

6410420304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7668 (or 7662 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6410420304 is about 80065.1004121022. The cubic root of 6410420304 is about 1857.6426280408.

The spelling of 6410420304 in words is "six billion, four hundred ten million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 661 696 1322 1392 1983 2644 3966 5288 6967 7932 10576 13934 15864 19169 20901 27868 31728 38338 41802 55736 57507 76676 83604 111472 115014 153352 167208 202043 230028 306704 334416 404086 460056 606129 808172 920112 1212258 1616344 2424516 3232688 4605187 4849032 9210374 9698064 13815561 18420748 27631122 36841496 55262244 73682992 110524488 133550423 221048976 267100846 400651269 534201692 801302538 1068403384 1602605076 2136806768 3205210152 6410420304