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3402301056 = 273711115067
BaseRepresentation
bin1100101011001010…
…1111111010000000
322210010000210122020
43022302233322000
523431442113211
61321335041440
7150212040030
oct31262577200
98703023566
103402301056
111496568160
127ab510280
13422b502bb
14243c098c0
1514da5e306
hexcacafe80

3402301056 has 128 divisors (see below), whose sum is σ = 11267458560. Its totient is φ = 883706880.

The previous prime is 3402301051. The next prime is 3402301061. The reversal of 3402301056 is 6501032043.

It is a happy number.

3402301056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3402301051) and next prime (3402301061).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3402301051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27966 + ... + 87101.

It is an arithmetic number, because the mean of its divisors is an integer number (88027020).

Almost surely, 23402301056 is an apocalyptic number.

It is an amenable number.

3402301056 is an abundant number, since it is smaller than the sum of its proper divisors (7865157504).

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

3402301056 is a wasteful number, since it uses less digits than its factorization.

3402301056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115102 (or 115090 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3402301056 is about 58329.2470035402. The cubic root of 3402301056 is about 1504.0337437729.

Adding to 3402301056 its reverse (6501032043), we get a palindrome (9903333099).

It can be divided in two parts, 3402 and 301056, that multiplied together give a cube (1024192512 = 10083).

The spelling of 3402301056 in words is "three billion, four hundred two million, three hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14784 29568 115067 230134 345201 460268 690402 805469 920536 1265737 1380804 1610938 1841072 2416407 2531474 2761608 3221876 3682144 3797211 4832814 5062948 5523216 6443752 7364288 7594422 8860159 9665628 10125896 11046432 12887504 14728576 15188844 17720318 19331256 20251792 22092864 25775008 26580477 30377688 35440636 38662512 40503584 44185728 51550016 53160954 60755376 70881272 77325024 81007168 103100032 106321908 121510752 141762544 154650048 162014336 212643816 243021504 283525088 309300096 425287632 486043008 567050176 850575264 1134100352 1701150528 3402301056