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3243985936 = 242924912
BaseRepresentation
bin1100000101011011…
…0100110000010000
322101002010120010021
43001112310300100
523120430022221
61253521513224
7143250265642
oct30126646020
98332116107
103243985936
111415166714
127664a2814
133c90cc709
1422ab98892
1513ebdb041
hexc15b4c10

3243985936 has 45 divisors (see below), whose sum is σ = 6522712573. Its totient is φ = 1562872640.

The previous prime is 3243985933. The next prime is 3243985939. The reversal of 3243985936 is 6395893423.

The square root of 3243985936 is 56956.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3243985933) and next prime (3243985939).

It can be written as a sum of positive squares in only one way, i.e., 1701067536 + 1542918400 = 41244^2 + 39280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3243985931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6606651 + ... + 6607141.

Almost surely, 23243985936 is an apocalyptic number.

3243985936 is the 56956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243985936

3243985936 is an abundant number, since it is smaller than the sum of its proper divisors (3278726637).

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

3243985936 is an frugal number, since it uses more digits than its factorization.

3243985936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 522 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 52.

The cubic root of 3243985936 is about 1480.3337961497. Note that the first 3 decimals are identical.

The spelling of 3243985936 in words is "three billion, two hundred forty-three million, nine hundred eighty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 491 841 982 1682 1964 3364 3928 6728 7856 13456 14239 28478 56956 113912 227824 241081 412931 482162 825862 964324 1651724 1928648 3303448 3857296 6606896 6991349 13982698 27965396 55930792 111861584 202749121 405498242 810996484 1621992968 3243985936