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4348872 = 23321117219
BaseRepresentation
bin10000100101101111001000
322011221112100
4100211233020
52103130442
6233113400
751651633
oct20455710
98157470
104348872
112500410
121558860
13b935c8
14812c1a
155ad84c
hex425bc8

4348872 has 144 divisors (see below), whose sum is σ = 14367600. Its totient is φ = 1175040.

The previous prime is 4348859. The next prime is 4348901. The reversal of 4348872 is 2788434.

4348872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 48 + 38 + 48 + 82 + 82 + 75 + 222 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228879 + ... + 228897.

It is an arithmetic number, because the mean of its divisors is an integer number (99775).

Almost surely, 24348872 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 4348872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183800).

4348872 is an abundant number, since it is smaller than the sum of its proper divisors (10018728).

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

4348872 is a wasteful number, since it uses less digits than its factorization.

4348872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4348872 is about 2085.3949266266. The cubic root of 4348872 is about 163.2270788400.

The spelling of 4348872 in words is "four million, three hundred forty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 19 22 24 33 34 36 38 44 51 57 66 68 72 76 88 99 102 114 132 136 152 153 171 187 198 204 209 228 264 289 306 323 342 374 396 408 418 456 561 578 612 627 646 684 748 792 836 867 969 1122 1156 1224 1254 1292 1368 1496 1672 1683 1734 1881 1938 2244 2312 2508 2584 2601 2907 3179 3366 3468 3553 3762 3876 4488 5016 5202 5491 5814 6358 6732 6936 7106 7524 7752 9537 10404 10659 10982 11628 12716 13464 14212 15048 16473 19074 20808 21318 21964 23256 25432 28424 28611 31977 32946 38148 42636 43928 49419 57222 60401 63954 65892 76296 85272 98838 114444 120802 127908 131784 181203 197676 228888 241604 255816 362406 395352 483208 543609 724812 1087218 1449624 2174436 4348872