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3344478137 = 7111337731237
BaseRepresentation
bin1100011101011000…
…1010111110111001
322122002020002111122
43013112022332321
523322141300022
61311511435025
7145610411060
oct30726127671
98562202448
103344478137
111466963a20
12794085a75
13413b86260
1423a2771d7
1514893b742
hexc758afb9

3344478137 has 64 divisors (see below), whose sum is σ = 4678808064. Its totient is φ = 2306672640.

The previous prime is 3344478103. The next prime is 3344478167. The reversal of 3344478137 is 7318744433.

It is a cyclic number.

It is not a de Polignac number, because 3344478137 - 220 = 3343429561 is a prime.

It is a super-2 number, since 2×33444781372 = 22371068017741981538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3344478167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2703083 + ... + 2704319.

It is an arithmetic number, because the mean of its divisors is an integer number (73106376).

Almost surely, 23344478137 is an apocalyptic number.

3344478137 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3344478137 is a deficient number, since it is larger than the sum of its proper divisors (1334329927).

3344478137 is a wasteful number, since it uses less digits than its factorization.

3344478137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378.

The product of its digits is 677376, while the sum is 44.

The square root of 3344478137 is about 57831.4632099171. The cubic root of 3344478137 is about 1495.4645427586.

The spelling of 3344478137 in words is "three billion, three hundred forty-four million, four hundred seventy-eight thousand, one hundred thirty-seven".

Divisors: 1 7 11 13 37 73 77 91 143 259 407 481 511 803 949 1001 1237 2701 2849 3367 5291 5621 6643 8659 10439 13607 16081 18907 29711 35113 37037 45769 73073 90301 95249 112567 176891 207977 245791 320383 386243 503459 594997 632107 993311 1173913 1238237 2703701 3341137 3524213 4164979 6544967 6953177 8217391 12913043 23387959 36752507 43434781 45814769 90391301 257267549 304043467 477782591 3344478137