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3001653940 = 225532831749
BaseRepresentation
bin1011001011101001…
…1001101010110100
321202012010211010011
42302322121222310
522121410411230
61213503510004
7134245431445
oct26272315264
97665124104
103001653940
1113003a003a
126b92b8304
1338ab432bc
142069172cc
151287bde2a
hexb2e99ab4

3001653940 has 24 divisors (see below), whose sum is σ = 6422409000. Its totient is φ = 1178007168.

The previous prime is 3001653937. The next prime is 3001653989. The reversal of 3001653940 is 493561003.

It can be written as a sum of positive squares in 4 ways, for example, as 1262096676 + 1739557264 = 35526^2 + 41708^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1414815 + ... + 1416934.

It is an arithmetic number, because the mean of its divisors is an integer number (267600375).

Almost surely, 23001653940 is an apocalyptic number.

It is an amenable number.

3001653940 is an abundant number, since it is smaller than the sum of its proper divisors (3420755060).

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

3001653940 is a wasteful number, since it uses less digits than its factorization.

3001653940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831811 (or 2831809 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 3001653940 is about 54787.3520075574. The cubic root of 3001653940 is about 1442.5145654210.

The spelling of 3001653940 in words is "three billion, one million, six hundred fifty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 2831749 5663498 11326996 14158745 28317490 56634980 150082697 300165394 600330788 750413485 1500826970 3001653940