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30834496 = 267116257
BaseRepresentation
bin111010110011…
…1111101000000
32011000112222101
41311213331000
530343200441
63020520144
7523042330
oct165477500
964015871
1030834496
1116450460
12a3b0054
136507a84
1441490c0
152a91231
hex1d67f40

30834496 has 56 divisors (see below), whose sum is σ = 76297536. Its totient is φ = 12011520.

The previous prime is 30834487. The next prime is 30834497. The reversal of 30834496 is 69443803.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×308344962 = 1901532287148032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30834497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1800 + ... + 8056.

It is an arithmetic number, because the mean of its divisors is an integer number (1362456).

Almost surely, 230834496 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 30834496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38148768).

30834496 is an abundant number, since it is smaller than the sum of its proper divisors (45463040).

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

30834496 is a wasteful number, since it uses less digits than its factorization.

30834496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 30834496 is about 5552.8817743582. The cubic root of 30834496 is about 313.5780232413.

The spelling of 30834496 in words is "thirty million, eight hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 6257 12514 25028 43799 50056 68827 87598 100112 137654 175196 200224 275308 350392 400448 481789 550616 700784 963578 1101232 1401568 1927156 2202464 2803136 3854312 4404928 7708624 15417248 30834496