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5434968 = 23371117173
BaseRepresentation
bin10100101110111001011000
3101020010101010
4110232321120
52342404333
6312253520
764124250
oct24567130
911203333
105434968
113082410
1219a12a0
131183a76
14a16960
15725563
hex52ee58

5434968 has 128 divisors (see below), whose sum is σ = 18040320. Its totient is φ = 1320960.

The previous prime is 5434937. The next prime is 5434981. The reversal of 5434968 is 8694345.

5434968 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54349682 = 59077754322048, which contains 22 as substring.

5434968 is strictly pandigital in base 8.

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, 31330 + ... + 31502.

It is an arithmetic number, because the mean of its divisors is an integer number (140940).

Almost surely, 25434968 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 5434968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9020160).

5434968 is an abundant number, since it is smaller than the sum of its proper divisors (12605352).

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

5434968 is a wasteful number, since it uses less digits than its factorization.

5434968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 5434968 is about 2331.3017822667. The cubic root of 5434968 is about 175.8189425916.

The spelling of 5434968 in words is "five million, four hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 173 187 204 231 238 264 308 346 357 374 408 462 476 519 561 616 692 714 748 924 952 1038 1122 1211 1309 1384 1428 1496 1848 1903 2076 2244 2422 2618 2856 2941 3633 3806 3927 4152 4488 4844 5236 5709 5882 7266 7612 7854 8823 9688 10472 11418 11764 13321 14532 15224 15708 17646 20587 22836 23528 26642 29064 31416 32351 35292 39963 41174 45672 53284 61761 64702 70584 79926 82348 97053 106568 123522 129404 159852 164696 194106 226457 247044 258808 319704 388212 452914 494088 679371 776424 905828 1358742 1811656 2717484 5434968