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302001414 = 231113477489
BaseRepresentation
bin10010000000000…
…010110100000110
3210001021021001120
4102000002310012
51104303021124
645544534410
710324653411
oct2200026406
9701237046
10302001414
11145521150
1285181406
134a74ba80
142c174b78
151b7a6d79
hex12002d06

302001414 has 64 divisors (see below), whose sum is σ = 724792320. Its totient is φ = 82667520.

The previous prime is 302001313. The next prime is 302001419. The reversal of 302001414 is 414100203.

It is a junction number, because it is equal to n+sod(n) for n = 302001393 and 302001402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302001419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36582 + ... + 44070.

It is an arithmetic number, because the mean of its divisors is an integer number (11324880).

Almost surely, 2302001414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302001414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362396160).

302001414 is an abundant number, since it is smaller than the sum of its proper divisors (422790906).

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

302001414 is a wasteful number, since it uses less digits than its factorization.

302001414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7565.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 302001414 is about 17378.1878802135. The cubic root of 302001414 is about 670.9183323114.

Adding to 302001414 its reverse (414100203), we get a palindrome (716101617).

The spelling of 302001414 in words is "three hundred two million, one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 47 66 78 94 141 143 282 286 429 517 611 858 1034 1222 1551 1833 3102 3666 6721 7489 13442 14978 20163 22467 40326 44934 82379 97357 164758 194714 247137 292071 351983 494274 584142 703966 1055949 1070927 2111898 2141854 3212781 3871813 4575779 6425562 7743626 9151558 11615439 13727337 23230878 27454674 50333569 100667138 151000707 302001414