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5434368 = 21032961
BaseRepresentation
bin10100101110110000000000
3101020002112220
4110232300000
52342344433
6312251040
764122432
oct24566000
911202486
105434368
113081a15
1219a0a80
131183704
14a16652
157252b3
hex52ec00

5434368 has 88 divisors (see below), whose sum is σ = 15229680. Its totient is φ = 1720320.

The previous prime is 5434357. The next prime is 5434409. The reversal of 5434368 is 8634345.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89058 + ... + 89118.

Almost surely, 25434368 is an apocalyptic number.

5434368 is a gapful number since it is divisible by the number (58) 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 5434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614840).

5434368 is an abundant number, since it is smaller than the sum of its proper divisors (9795312).

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

5434368 is a wasteful number, since it uses less digits than its factorization.

5434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 5434368 is about 2331.1730952463. The cubic root of 5434368 is about 175.8124724371.

The spelling of 5434368 in words is "five million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 64 87 96 116 122 128 174 183 192 232 244 256 348 366 384 464 488 512 696 732 768 928 976 1024 1392 1464 1536 1769 1856 1952 2784 2928 3072 3538 3712 3904 5307 5568 5856 7076 7424 7808 10614 11136 11712 14152 14848 15616 21228 22272 23424 28304 29696 31232 42456 44544 46848 56608 62464 84912 89088 93696 113216 169824 187392 226432 339648 452864 679296 905728 1358592 1811456 2717184 5434368