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3244468890 = 2351335323567
BaseRepresentation
bin1100000101100010…
…1010101010011010
322101010001002121110
43001120222222122
523121041001030
61253540121150
7143254346655
oct30130525232
98333032543
103244468890
111415466553
127666961b6
133c923b4a0
1422ac8289c
1513ec841b0
hexc162aa9a

3244468890 has 64 divisors (see below), whose sum is σ = 8409816576. Its totient is φ = 796342272.

The previous prime is 3244468889. The next prime is 3244468939. The reversal of 3244468890 is 988644423.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125887 + ... + 149453.

It is an arithmetic number, because the mean of its divisors is an integer number (131403384).

Almost surely, 23244468890 is an apocalyptic number.

3244468890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3244468890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204908288).

3244468890 is an abundant number, since it is smaller than the sum of its proper divisors (5165347686).

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

3244468890 is a wasteful number, since it uses less digits than its factorization.

3244468890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23943.

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 3244468890 is about 56960.2395535693. The cubic root of 3244468890 is about 1480.4072549198.

It can be divided in two parts, 324446 and 8890, that added together give a triangular number (333336 = T816).

The spelling of 3244468890 in words is "three billion, two hundred forty-four million, four hundred sixty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 353 390 706 1059 1765 2118 3530 4589 5295 9178 10590 13767 22945 23567 27534 45890 47134 68835 70701 117835 137670 141402 235670 306371 353505 612742 707010 919113 1531855 1838226 3063710 4595565 8319151 9191130 16638302 24957453 41595755 49914906 83191510 108148963 124787265 216297926 249574530 324446889 540744815 648893778 1081489630 1622234445 3244468890