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3420136224 = 25348111627
BaseRepresentation
bin1100101111011011…
…0010001100100000
322211100120220220000
43023312302030200
524001023324344
61323213220000
7150516451431
oct31366621440
98740526800
103420136224
1114a5639a6a
127b5491600
1342675625b
1424632d488
151503d3a69
hexcbdb2320

3420136224 has 120 divisors (see below), whose sum is σ = 10077118128. Its totient is φ = 1137939840.

The previous prime is 3420136207. The next prime is 3420136241. The reversal of 3420136224 is 4226310243.

3420136224 is a `hidden beast` number, since 3 + 4 + 20 + 13 + 622 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3420136207) and next prime (3420136241).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2101299 + ... + 2102925.

Almost surely, 23420136224 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 3420136224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038559064).

3420136224 is an abundant number, since it is smaller than the sum of its proper divisors (6656981904).

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

3420136224 is a wasteful number, since it uses less digits than its factorization.

3420136224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3420136224 is about 58481.9307478814. The cubic root of 3420136224 is about 1506.6572582317.

Adding to 3420136224 its reverse (4226310243), we get a palindrome (7646446467).

The spelling of 3420136224 in words is "three billion, four hundred twenty million, one hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 811 864 1296 1622 1627 2433 2592 3244 3254 4866 4881 6488 6508 7299 9732 9762 12976 13016 14598 14643 19464 19524 21897 25952 26032 29196 29286 38928 39048 43794 43929 52064 58392 58572 65691 77856 78096 87588 87858 116784 117144 131382 131787 156192 175176 175716 233568 234288 262764 263574 350352 351432 468576 525528 527148 700704 702864 1051056 1054296 1319497 1405728 2102112 2108592 2638994 3958491 4217184 5277988 7916982 10555976 11875473 15833964 21111952 23750946 31667928 35626419 42223904 47501892 63335856 71252838 95003784 106879257 126671712 142505676 190007568 213758514 285011352 380015136 427517028 570022704 855034056 1140045408 1710068112 3420136224