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3346391104 = 267210332
BaseRepresentation
bin1100011101110101…
…1110000001000000
322122012211021121021
43013131132001000
523323134003404
61312020435224
7145632566200
oct30735360100
98565737537
103346391104
111467a50191
12794848b14
134143a5ba4
1423a614400
15148bb8454
hexc775e040

3346391104 has 63 divisors (see below), whose sum is σ = 7732142397. Its totient is φ = 1432779264.

The previous prime is 3346391077. The next prime is 3346391123. The reversal of 3346391104 is 4011936433.

The square root of 3346391104 is 57848.

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

It can be written as a sum of positive squares in only one way, i.e., 3230785600 + 115605504 = 56840^2 + 10752^2 .

It is a super-2 number, since 2×33463911042 = 22396666841860677632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3346391104.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3238972 + ... + 3240004.

It is an arithmetic number, because the mean of its divisors is an integer number (122732419).

Almost surely, 23346391104 is an apocalyptic number.

3346391104 is the 57848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3346391104

3346391104 is an abundant number, since it is smaller than the sum of its proper divisors (4385751293).

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

3346391104 is an frugal number, since it uses more digits than its factorization.

3346391104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The cubic root of 3346391104 is about 1495.7496125505.

The spelling of 3346391104 in words is "three billion, three hundred forty-six million, three hundred ninety-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1033 1568 2066 3136 4132 7231 8264 14462 16528 28924 33056 50617 57848 66112 101234 115696 202468 231392 404936 462784 809872 1067089 1619744 2134178 3239488 4268356 7469623 8536712 14939246 17073424 29878492 34146848 52287361 59756984 68293696 104574722 119513968 209149444 239027936 418298888 478055872 836597776 1673195552 3346391104