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336022420 = 22529678647
BaseRepresentation
bin10100000001110…
…100101110010100
3212102021201002211
4110001310232110
51142010204140
653202043204
711220100126
oct2401645624
9772251084
10336022420
11162748688
1294649504
1354801046
14328ad216
151e7772ea
hex14074b94

336022420 has 48 divisors (see below), whose sum is σ = 740960640. Its totient is φ = 127822464.

The previous prime is 336022409. The next prime is 336022447. The reversal of 336022420 is 24220633.

It is a happy number.

It is a super-2 number, since 2×3360224202 = 225822133485312800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 336022391 and 336022400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34537 + ... + 43183.

It is an arithmetic number, because the mean of its divisors is an integer number (15436680).

Almost surely, 2336022420 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 336022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370480320).

336022420 is an abundant number, since it is smaller than the sum of its proper divisors (404938220).

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

336022420 is a wasteful number, since it uses less digits than its factorization.

336022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8750 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 336022420 is about 18330.9143252594. The cubic root of 336022420 is about 695.2207914344.

The spelling of 336022420 in words is "three hundred thirty-six million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 335 580 670 1340 1943 3886 7772 8647 9715 17294 19430 34588 38860 43235 86470 172940 250763 501526 579349 1003052 1158698 1253815 2317396 2507630 2896745 5015260 5793490 11586980 16801121 33602242 67204484 84005605 168011210 336022420