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3439472352 = 253103934483
BaseRepresentation
bin1100110100000010…
…0010111011100000
322212200222022001220
43031000202323200
524021001103402
61325143455040
7151143014121
oct31500427340
98780868056
103439472352
111505546538
127bba57480
1342a766454
14248b24048
15151e52dbc
hexcd022ee0

3439472352 has 48 divisors (see below), whose sum is σ = 9037566720. Its totient is φ = 1145354112.

The previous prime is 3439472303. The next prime is 3439472353. The reversal of 3439472352 is 2532749343.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3439472353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82503 + ... + 116985.

It is an arithmetic number, because the mean of its divisors is an integer number (188282640).

Almost surely, 23439472352 is an apocalyptic number.

3439472352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3439472352 is an abundant number, since it is smaller than the sum of its proper divisors (5598094368).

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

3439472352 is a wasteful number, since it uses less digits than its factorization.

3439472352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35535 (or 35527 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The square root of 3439472352 is about 58647.0148600933. The cubic root of 3439472352 is about 1509.4912766648.

The spelling of 3439472352 in words is "three billion, four hundred thirty-nine million, four hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1039 2078 3117 4156 6234 8312 12468 16624 24936 33248 34483 49872 68966 99744 103449 137932 206898 275864 413796 551728 827592 1103456 1655184 3310368 35827837 71655674 107483511 143311348 214967022 286622696 429934044 573245392 859868088 1146490784 1719736176 3439472352