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3421632368 = 247211419677
BaseRepresentation
bin1100101111110001…
…1111011101110000
322211110101221012202
43023330133131300
524001414213433
61323305242332
7150535252400
oct31374373560
98743357182
103421632368
1114a6471050
127b5a933a8
13426b5b24b
142465dc800
151505cbee8
hexcbf1f770

3421632368 has 120 divisors (see below), whose sum is σ = 8618917104. Its totient is φ = 1300454400.

The previous prime is 3421632317. The next prime is 3421632373. The reversal of 3421632368 is 8632361243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348746 + ... + 358422.

Almost surely, 23421632368 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 3421632368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309458552).

3421632368 is an abundant number, since it is smaller than the sum of its proper divisors (5197284736).

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

3421632368 is a wasteful number, since it uses less digits than its factorization.

3421632368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9751 (or 9738 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

The square root of 3421632368 is about 58494.7208558174. The cubic root of 3421632368 is about 1506.8769227374.

The spelling of 3421632368 in words is "three billion, four hundred twenty-one million, six hundred thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 49 56 77 82 88 98 112 154 164 176 196 287 308 328 392 451 539 574 616 656 784 902 1078 1148 1232 1804 2009 2156 2296 3157 3608 4018 4312 4592 6314 7216 8036 8624 9677 12628 16072 19354 22099 25256 32144 38708 44198 50512 67739 77416 88396 106447 135478 154832 176792 212894 270956 353584 396757 425788 474173 541912 745129 793514 851576 948346 1083824 1490258 1587028 1703152 1896692 2777299 2980516 3174056 3793384 4364327 5215903 5554598 5961032 6348112 7586768 8728654 10431806 11109196 11922064 17457308 19441093 20863612 22218392 30550289 34914616 38882186 41727224 44436784 61100578 69829232 77764372 83454448 122201156 155528744 213852023 244402312 311057488 427704046 488804624 855408092 1710816184 3421632368