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3434440984 = 2313210512417
BaseRepresentation
bin1100110010110101…
…0110100100011000
322212100111200022221
43030231112210120
524013204102414
61324443553424
7151052160322
oct31455264430
98770450287
103434440984
11150271a387
127ba22b874
134296c4300
142481b4612
151517ac224
hexccb56918

3434440984 has 48 divisors (see below), whose sum is σ = 6982555320. Its totient is φ = 1582963200.

The previous prime is 3434440967. The next prime is 3434440987. The reversal of 3434440984 is 4890444343.

It is a self number, because there is not a number n which added to its sum of digits gives 3434440984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434440987) 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, 1419744 + ... + 1422160.

Almost surely, 23434440984 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 3434440984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491277660).

3434440984 is an abundant number, since it is smaller than the sum of its proper divisors (3548114336).

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

3434440984 is a wasteful number, since it uses less digits than its factorization.

3434440984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The square root of 3434440984 is about 58604.1038153473. The cubic root of 3434440984 is about 1508.7548737472.

The spelling of 3434440984 in words is "three billion, four hundred thirty-four million, four hundred forty thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1051 1352 2102 2417 4204 4834 8408 9668 13663 19336 27326 31421 54652 62842 109304 125684 177619 251368 355238 408473 710476 816946 1420952 1633892 2540267 3267784 5080534 10161068 20322136 33023471 66046942 132093884 264187768 429305123 858610246 1717220492 3434440984