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3424608 = 2532112347
BaseRepresentation
bin1101000100000101100000
320102222200100
431010011200
51334041413
6201222400
741052165
oct15040540
96388610
103424608
111a29a60
121191a00
1392b9c5
1465206c
15479a73
hex344160

3424608 has 144 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 971520.

The previous prime is 3424573. The next prime is 3424613. The reversal of 3424608 is 8064243.

3424608 is a `hidden beast` number, since 34 + 24 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72841 + ... + 72887.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

Almost surely, 23424608 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 3424608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

3424608 is an abundant number, since it is smaller than the sum of its proper divisors (7897248).

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

3424608 is a wasteful number, since it uses less digits than its factorization.

3424608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3424608 is about 1850.5696420292. The cubic root of 3424608 is about 150.7313616058.

It can be divided in two parts, 342 and 4608, that added together give a triangular number (4950 = T99).

The spelling of 3424608 in words is "three million, four hundred twenty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 47 48 66 69 72 88 92 94 96 99 132 138 141 144 176 184 188 198 207 253 264 276 282 288 352 368 376 396 414 423 506 517 528 552 564 736 752 759 792 828 846 1012 1034 1056 1081 1104 1128 1504 1518 1551 1584 1656 1692 2024 2068 2162 2208 2256 2277 3036 3102 3168 3243 3312 3384 4048 4136 4324 4512 4554 4653 6072 6204 6486 6624 6768 8096 8272 8648 9108 9306 9729 11891 12144 12408 12972 13536 16544 17296 18216 18612 19458 23782 24288 24816 25944 34592 35673 36432 37224 38916 47564 49632 51888 71346 72864 74448 77832 95128 103776 107019 142692 148896 155664 190256 214038 285384 311328 380512 428076 570768 856152 1141536 1712304 3424608