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3050834112 = 26333747717
BaseRepresentation
bin1011010111011000…
…0000100011000000
321212121200102122000
42311312000203000
522222003142422
61222421544000
7135413443044
oct26566004300
97777612560
103050834112
111326130907
12711875000
133980a24b1
1420d27a024
1512cc85cac
hexb5d808c0

3050834112 has 112 divisors (see below), whose sum is σ = 9211482720. Its totient is φ = 989438976.

The previous prime is 3050834107. The next prime is 3050834117. The reversal of 3050834112 is 2114380503.

It is a happy number.

3050834112 is a `hidden beast` number, since 305 + 0 + 8 + 341 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (3050834107) and next prime (3050834117).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3050834117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40078 + ... + 87794.

Almost surely, 23050834112 is an apocalyptic number.

3050834112 is a gapful number since it is divisible by the number (32) 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 3050834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605741360).

3050834112 is an abundant number, since it is smaller than the sum of its proper divisors (6160648608).

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

3050834112 is a wasteful number, since it uses less digits than its factorization.

3050834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47775 (or 47759 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3050834112 is about 55234.3562649190. The cubic root of 3050834112 is about 1450.3501511885.

It can be divided in two parts, 30508 and 34112, that added together give a triangular number (64620 = T359).

The spelling of 3050834112 in words is "three billion, fifty million, eight hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2368 2664 3552 3996 5328 7104 7992 10656 15984 21312 31968 47717 63936 95434 143151 190868 286302 381736 429453 572604 763472 858906 1145208 1288359 1526944 1717812 1765529 2290416 2576718 3053888 3435624 3531058 4580832 5153436 5296587 6871248 7062116 9161664 10306872 10593174 13742496 14124232 15889761 20613744 21186348 27484992 28248464 31779522 41227488 42372696 47669283 56496928 63559044 82454976 84745392 95338566 112993856 127118088 169490784 190677132 254236176 338981568 381354264 508472352 762708528 1016944704 1525417056 3050834112