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3411945936 = 243371128289
BaseRepresentation
bin1100101101011110…
…0010100111010000
322210210011210221000
43023113202213100
523441424232221
61322321502000
7150360030150
oct31327424720
98723153830
103411945936
1114a0a55533
127b27a1900
13424b49329
142451da760
1514e816e26
hexcb5e29d0

3411945936 has 80 divisors (see below), whose sum is σ = 11192636800. Its totient is φ = 974840832.

The previous prime is 3411945923. The next prime is 3411945941. The reversal of 3411945936 is 6395491143.

3411945936 is a `hidden beast` number, since 3 + 41 + 19 + 4 + 593 + 6 = 666.

3411945936 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3411945891 and 3411945900.

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, 561121 + ... + 567168.

It is an arithmetic number, because the mean of its divisors is an integer number (139907960).

Almost surely, 23411945936 is an apocalyptic number.

3411945936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3411945936 is an abundant number, since it is smaller than the sum of its proper divisors (7780690864).

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

3411945936 is a wasteful number, since it uses less digits than its factorization.

3411945936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128313 (or 1128301 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 3411945936 is about 58411.8646851819. The cubic root of 3411945936 is about 1505.4536199895.

The spelling of 3411945936 in words is "three billion, four hundred eleven million, nine hundred forty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 1128289 2256578 3384867 4513156 6769734 7898023 9026312 10154601 13539468 15796046 18052624 20309202 23694069 27078936 30463803 31592092 40618404 47388138 54157872 60927606 63184184 71082207 81236808 94776276 121855212 126368368 142164414 162473616 189552552 213246621 243710424 284328828 379105104 426493242 487420848 568657656 852986484 1137315312 1705972968 3411945936