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3344905608 = 2331126131879
BaseRepresentation
bin1100011101011111…
…0011010110001000
322122010000210212220
43013113303112020
523322243434413
61311524534040
7145614141252
oct30727632610
98563023786
103344905608
111467126100
12794251320
13413ca59b5
1423a348cd2
151489c3223
hexc75f3588

3344905608 has 96 divisors (see below), whose sum is σ = 9211473600. Its totient is φ = 1011415680.

The previous prime is 3344905573. The next prime is 3344905639. The reversal of 3344905608 is 8065094433.

It is a super-2 number, since 2×33449056082 = 22376787052859699328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3344905608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1779213 + ... + 1781091.

It is an arithmetic number, because the mean of its divisors is an integer number (95952850).

Almost surely, 23344905608 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 3344905608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605736800).

3344905608 is an abundant number, since it is smaller than the sum of its proper divisors (5866567992).

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

3344905608 is a wasteful number, since it uses less digits than its factorization.

3344905608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3344905608 is about 57835.1589260374. The cubic root of 3344905608 is about 1495.5282537934.

The spelling of 3344905608 in words is "three billion, three hundred forty-four million, nine hundred five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 613 726 968 1226 1452 1839 1879 2452 2904 3678 3758 4904 5637 6743 7356 7516 11274 13486 14712 15032 20229 20669 22548 26972 40458 41338 45096 53944 62007 74173 80916 82676 124014 148346 161832 165352 222519 227359 248028 296692 445038 454718 496056 593384 682077 890076 909436 1151827 1364154 1780152 1818872 2303654 2728308 3455481 4607308 5456616 6910962 9214616 12670097 13821924 25340194 27643848 38010291 50680388 76020582 101360776 139371067 152041164 278742134 304082328 418113201 557484268 836226402 1114968536 1672452804 3344905608