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411234420 = 223517537607
BaseRepresentation
bin11000100000101…
…111000001110100
31001122210212120110
4120200233001310
51320234000140
6104450103020
713122302112
oct3040570164
91048725513
10411234420
111a1149563
12b587aa70
1367275c9c
143c88aab2
1526182380
hex1882f074

411234420 has 96 divisors (see below), whose sum is σ = 1242355968. Its totient is φ = 101251072.

The previous prime is 411234361. The next prime is 411234431. The reversal of 411234420 is 24432114.

It is a super-2 number, since 2×4112344202 = 338227496385472800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50257 + ... + 57863.

It is an arithmetic number, because the mean of its divisors is an integer number (12941208).

Almost surely, 2411234420 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 411234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621177984).

411234420 is an abundant number, since it is smaller than the sum of its proper divisors (831121548).

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

411234420 is a wasteful number, since it uses less digits than its factorization.

411234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 411234420 is about 20278.9156514839. The cubic root of 411234420 is about 743.6407026265.

Adding to 411234420 its reverse (24432114), we get a palindrome (435666534).

The spelling of 411234420 in words is "four hundred eleven million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 53 60 68 85 102 106 159 170 204 212 255 265 318 340 510 530 636 795 901 1020 1060 1590 1802 2703 3180 3604 4505 5406 7607 9010 10812 13515 15214 18020 22821 27030 30428 38035 45642 54060 76070 91284 114105 129319 152140 228210 258638 387957 403171 456420 517276 646595 775914 806342 1209513 1293190 1551828 1612684 1939785 2015855 2419026 2586380 3879570 4031710 4838052 6047565 6853907 7759140 8063420 12095130 13707814 20561721 24190260 27415628 34269535 41123442 68539070 82246884 102808605 137078140 205617210 411234420