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411734112 = 25329712083
BaseRepresentation
bin11000100010101…
…001000001100000
31001200202021000120
4120202221001200
51320400442422
6104504520240
713126452666
oct3042510140
91050667016
10411734112
111a145aa29
12b5a80080
13673bc56a
143c97ac36
152623045c
hex188a9060

411734112 has 96 divisors (see below), whose sum is σ = 1134362880. Its totient is φ = 130583040.

The previous prime is 411734107. The next prime is 411734207. The reversal of 411734112 is 211437114.

It is a tau number, because it is divible by the number of its divisors (96).

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, 196623 + ... + 198705.

It is an arithmetic number, because the mean of its divisors is an integer number (11816280).

Almost surely, 2411734112 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 411734112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567181440).

411734112 is an abundant number, since it is smaller than the sum of its proper divisors (722628768).

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

411734112 is a wasteful number, since it uses less digits than its factorization.

411734112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2188 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 411734112 is about 20291.2323923413. The cubic root of 411734112 is about 743.9417806218.

The spelling of 411734112 in words is "four hundred eleven million, seven hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 71 87 96 116 142 174 213 232 284 348 426 464 568 696 852 928 1136 1392 1704 2059 2083 2272 2784 3408 4118 4166 6177 6249 6816 8236 8332 12354 12498 16472 16664 24708 24996 32944 33328 49416 49992 60407 65888 66656 98832 99984 120814 147893 181221 197664 199968 241628 295786 362442 443679 483256 591572 724884 887358 966512 1183144 1449768 1774716 1933024 2366288 2899536 3549432 4288897 4732576 5799072 7098864 8577794 12866691 14197728 17155588 25733382 34311176 51466764 68622352 102933528 137244704 205867056 411734112