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3384037520 = 24559371333
BaseRepresentation
bin1100100110110100…
…0101000010010000
322201211122220202222
43021231011002100
523412303200040
61315443400212
7146600562413
oct31155050220
98654586688
103384037520
111487223526
127a5383068
1341c127386
14241613b7a
1514c152bb5
hexc9b45090

3384037520 has 40 divisors (see below), whose sum is σ = 7881265656. Its totient is φ = 1351313408.

The previous prime is 3384037513. The next prime is 3384037583. The reversal of 3384037520 is 257304833.

It can be written as a sum of positive squares in 4 ways, for example, as 366952336 + 3017085184 = 19156^2 + 54928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33840375202 = 22903419873535500800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11774 + ... + 83106.

Almost surely, 23384037520 is an apocalyptic number.

It is an amenable number.

3384037520 is an abundant number, since it is smaller than the sum of its proper divisors (4497228136).

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

3384037520 is a wasteful number, since it uses less digits than its factorization.

3384037520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71939 (or 71933 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 3384037520 is about 58172.4807791450. The cubic root of 3384037520 is about 1501.3376985390.

The spelling of 3384037520 in words is "three billion, three hundred eighty-four million, thirty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 593 1186 2372 2965 4744 5930 9488 11860 23720 47440 71333 142666 285332 356665 570664 713330 1141328 1426660 2853320 5706640 42300469 84600938 169201876 211502345 338403752 423004690 676807504 846009380 1692018760 3384037520