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3305379456 = 27322869253
BaseRepresentation
bin1100010100000100…
…0001011010000000
322112100122200012100
43011001001122000
523232134120311
61303553430400
7144624155541
oct30501013200
98470580170
103305379456
111446889565
12782b6b400
13408a46a42
14234dba4c8
151452b6a56
hexc5041680

3305379456 has 48 divisors (see below), whose sum is σ = 9511577010. Its totient is φ = 1101792768.

The previous prime is 3305379439. The next prime is 3305379457. The reversal of 3305379456 is 6549735033.

It can be written as a sum of positive squares in only one way, i.e., 2269569600 + 1035809856 = 47640^2 + 32184^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3305379457) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1433475 + ... + 1435778.

Almost surely, 23305379456 is an apocalyptic number.

3305379456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3305379456 is an abundant number, since it is smaller than the sum of its proper divisors (6206197554).

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

3305379456 is a wasteful number, since it uses less digits than its factorization.

3305379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869273 (or 2869258 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The square root of 3305379456 is about 57492.4295538117. The cubic root of 3305379456 is about 1489.6141000241.

The spelling of 3305379456 in words is "three billion, three hundred five million, three hundred seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2869253 5738506 8607759 11477012 17215518 22954024 25823277 34431036 45908048 51646554 68862072 91816096 103293108 137724144 183632192 206586216 275448288 367264384 413172432 550896576 826344864 1101793152 1652689728 3305379456