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3102404224 = 2729731072
BaseRepresentation
bin1011100011101010…
…1110111010000000
322000012201110112011
42320322232322000
522323203413344
61231503142304
7136611000163
oct27072567200
98005643464
103102404224
111352254237
12726ba4994
133a598a45a
14216061ada
15132570d34
hexb8eaee80

3102404224 has 96 divisors (see below), whose sum is σ = 6542417700. Its totient is φ = 1463390208.

The previous prime is 3102404219. The next prime is 3102404317. The reversal of 3102404224 is 4224042013.

It is a happy number.

3102404224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3095809600 + 6594624 = 55640^2 + 2568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3102404195 and 3102404204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28994379 + ... + 28994485.

Almost surely, 23102404224 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 3102404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271208850).

3102404224 is an abundant number, since it is smaller than the sum of its proper divisors (3440013476).

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

3102404224 is an equidigital number, since it uses as much as digits as its factorization.

3102404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3102404224 is about 55699.2300126312. The cubic root of 3102404224 is about 1458.4765844834.

Adding to 3102404224 its reverse (4224042013), we get a palindrome (7326446237).

The spelling of 3102404224 in words is "three billion, one hundred two million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 73 107 116 128 146 214 232 292 428 464 584 856 928 1168 1712 1856 2117 2336 3103 3424 3712 4234 4672 6206 6848 7811 8468 9344 11449 12412 13696 15622 16936 22898 24824 31244 33872 45796 49648 62488 67744 91592 99296 124976 135488 183184 198592 226519 249952 270976 332021 366368 397184 453038 499904 664042 732736 835777 906076 999808 1328084 1465472 1671554 1812152 2656168 3343108 3624304 5312336 6686216 7248608 10624672 13372432 14497216 21249344 24237533 26744864 28994432 42498688 48475066 53489728 96950132 106979456 193900264 387800528 775601056 1551202112 3102404224