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3290358420 = 2232518279769
BaseRepresentation
bin1100010000011110…
…1110001010010100
322111022101112012200
43010013232022110
523214312432140
61302255444500
7144352404456
oct30407561224
98438345180
103290358420
111439359a88
12779b26730
134058b795b
14232dca2d6
15143ceb030
hexc41ee294

3290358420 has 36 divisors (see below), whose sum is σ = 9980754420. Its totient is φ = 877428864.

The previous prime is 3290358397. The next prime is 3290358427. The reversal of 3290358420 is 248530923.

It can be written as a sum of positive squares in 2 ways, for example, as 1935824004 + 1354534416 = 43998^2 + 36804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3290358427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9139705 + ... + 9140064.

Almost surely, 23290358420 is an apocalyptic number.

3290358420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3290358420 is an abundant number, since it is smaller than the sum of its proper divisors (6690396000).

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

3290358420 is a wasteful number, since it uses less digits than its factorization.

3290358420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18279784 (or 18279779 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3290358420 is about 57361.6458968883. The cubic root of 3290358420 is about 1487.3541953455.

The spelling of 3290358420 in words is "three billion, two hundred ninety million, three hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18279769 36559538 54839307 73119076 91398845 109678614 164517921 182797690 219357228 274196535 329035842 365595380 548393070 658071684 822589605 1096786140 1645179210 3290358420