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3431000704 = 27411016473
BaseRepresentation
bin1100110010000000…
…1110101010000000
322212010000220011011
43030200032222000
524011314010304
61324242130304
7151011011335
oct31440165200
98763026134
103431000704
11150078a67a
127b9050994
13428a8b441
1424795a98c
1515132cc04
hexcc80ea80

3431000704 has 64 divisors (see below), whose sum is σ = 7072327080. Its totient is φ = 1656832000.

The previous prime is 3431000669. The next prime is 3431000711. The reversal of 3431000704 is 4070001343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2484823104 + 946177600 = 49848^2 + 30760^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526812 + ... + 533284.

Almost surely, 23431000704 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 3431000704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536163540).

3431000704 is an abundant number, since it is smaller than the sum of its proper divisors (3641326376).

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

3431000704 is a wasteful number, since it uses less digits than its factorization.

3431000704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3431000704 is about 58574.7445918461. The cubic root of 3431000704 is about 1508.2509321230.

The spelling of 3431000704 in words is "three billion, four hundred thirty-one million, seven hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 41 64 82 101 128 164 202 328 404 656 808 1312 1616 2624 3232 4141 5248 6464 6473 8282 12928 12946 16564 25892 33128 51784 66256 103568 132512 207136 265024 265393 414272 530048 530786 653773 828544 1061572 1307546 2123144 2615092 4246288 5230184 8492576 10460368 16985152 20920736 26804693 33970304 41841472 53609386 83682944 107218772 214437544 428875088 857750176 1715500352 3431000704