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302404134420 = 223253177577001
BaseRepresentation
bin1000110011010001011…
…00001110011000010100
31001220120001201201011200
410121220230032120110
514423310424300140
6350531134032500
730563566505523
oct4315054163024
91056501651150
10302404134420
11107281283053
124a736648730
1322693c3435b
14108ca55a4ba
157ced7a0030
hex4668b0e614

302404134420 has 144 divisors (see below), whose sum is σ = 921533388048. Its totient is φ = 80269056000.

The previous prime is 302404134379. The next prime is 302404134443. The reversal of 302404134420 is 24431404203.

It is a happy number.

302404134420 is a `hidden beast` number, since 3 + 0 + 240 + 413 + 4 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30583713924 + 271820420496 = 174882^2 + 521364^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43190920 + ... + 43197920.

It is an arithmetic number, because the mean of its divisors is an integer number (6399537417).

Almost surely, 2302404134420 is an apocalyptic number.

302404134420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302404134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460766694024).

302404134420 is an abundant number, since it is smaller than the sum of its proper divisors (619129253628).

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

302404134420 is a wasteful number, since it uses less digits than its factorization.

302404134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 8085 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 302404134420 its reverse (24431404203), we get a palindrome (326835538623).

The spelling of 302404134420 in words is "three hundred two billion, four hundred four million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 757 951 1268 1514 1585 1902 2271 2853 3028 3170 3785 3804 4542 4755 5706 6340 6813 7001 7570 9084 9510 11355 11412 13626 14002 14265 15140 19020 21003 22710 27252 28004 28530 34065 35005 42006 45420 57060 63009 68130 70010 84012 105015 126018 136260 140020 210030 239969 252036 315045 420060 479938 630090 719907 959876 1199845 1260180 1439814 2159721 2219317 2399690 2879628 3599535 4319442 4438634 4799380 5299757 6657951 7199070 8638884 8877268 10599514 10798605 11096585 13315902 14398140 15899271 19973853 21199028 21597210 22193170 26498785 26631804 31798542 33289755 39947706 43194420 44386340 47697813 52997570 63597084 66579510 79496355 79895412 95395626 99869265 105995140 133159020 158992710 190791252 199738530 238489065 317985420 399477060 476978130 953956260 1680022969 3360045938 5040068907 6720091876 8400114845 10080137814 15120206721 16800229690 20160275628 25200344535 30240413442 33600459380 50400689070 60480826884 75601033605 100801378140 151202067210 302404134420