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3380528928 = 253713936191
BaseRepresentation
bin1100100101111110…
…1100011100100000
322201121001122220010
43021133230130200
523410403411203
61315240244520
7146526010320
oct31137543440
98647048803
103380528928
111485247467
127a4170740
1341b49939a
14240d7d280
1514bbad303
hexc97ec720

3380528928 has 96 divisors (see below), whose sum is σ = 10214830080. Its totient is φ = 958890240.

The previous prime is 3380528923. The next prime is 3380528933. The reversal of 3380528928 is 8298250833.

3380528928 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 (3380528923) and next prime (3380528933).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33805289282 = 22855951666089658368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3380528923) 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, 75313 + ... + 111503.

It is an arithmetic number, because the mean of its divisors is an integer number (106404480).

Almost surely, 23380528928 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 3380528928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107415040).

3380528928 is an abundant number, since it is smaller than the sum of its proper divisors (6834301152).

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

3380528928 is a wasteful number, since it uses less digits than its factorization.

3380528928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36350 (or 36342 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 3380528928 is about 58142.3161561354. The cubic root of 3380528928 is about 1500.8186535674.

The spelling of 3380528928 in words is "three billion, three hundred eighty million, five hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 672 834 973 1112 1668 1946 2224 2919 3336 3892 4448 5838 6672 7784 11676 13344 15568 23352 31136 36191 46704 72382 93408 108573 144764 217146 253337 289528 434292 506674 579056 760011 868584 1013348 1158112 1520022 1737168 2026696 3040044 3474336 4053392 5030549 6080088 8106784 10061098 12160176 15091647 20122196 24320352 30183294 35213843 40244392 60366588 70427686 80488784 105641529 120733176 140855372 160977568 211283058 241466352 281710744 422566116 482932704 563421488 845132232 1126842976 1690264464 3380528928