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3380068032 = 263117122541
BaseRepresentation
bin1100100101110111…
…1011111011000000
322201120012020122220
43021131323323000
523410244134112
61315222331040
7146522050515
oct31135737300
98646166586
103380068032
111484a62160
127a3b89a80
1341b367673
14240c9d30c
1514bb1b98c
hexc977bec0

3380068032 has 112 divisors (see below), whose sum is σ = 9893954304. Its totient is φ = 1009792000.

The previous prime is 3380067991. The next prime is 3380068079. The reversal of 3380068032 is 2308600833.

It is a super-2 number, since 2×33800680322 = 22849719801896706048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3380067984 and 3380068002.

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, 138682 + ... + 161222.

Almost surely, 23380068032 is an apocalyptic number.

3380068032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946977152).

3380068032 is an abundant number, since it is smaller than the sum of its proper divisors (6513886272).

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

3380068032 is a wasteful number, since it uses less digits than its factorization.

3380068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22638 (or 22628 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3380068032 is about 58138.3525050375. The cubic root of 3380068032 is about 1500.7504440488.

Adding to 3380068032 its reverse (2308600833), we get a palindrome (5688668865).

The spelling of 3380068032 in words is "three billion, three hundred eighty million, sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 192 213 264 284 352 426 528 568 704 781 852 1056 1136 1562 1704 2112 2272 2343 3124 3408 4544 4686 6248 6816 9372 12496 13632 18744 22541 24992 37488 45082 49984 67623 74976 90164 135246 149952 180328 247951 270492 360656 495902 540984 721312 743853 991804 1081968 1442624 1487706 1600411 1983608 2163936 2975412 3200822 3967216 4327872 4801233 5950824 6401644 7934432 9602466 11901648 12803288 15868864 17604521 19204932 23803296 25606576 35209042 38409864 47606592 51213152 52813563 70418084 76819728 102426304 105627126 140836168 153639456 211254252 281672336 307278912 422508504 563344672 845017008 1126689344 1690034016 3380068032