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3376893464 = 2371710733151
BaseRepresentation
bin1100100101000111…
…0100111000011000
322201100012221222022
43021101310320120
523403441042324
61315030314012
7146453056310
oct31121647030
98640187868
103376893464
11148319404a
127a2ab8908
1341a7c5719
142406b4440
1514b6e105e
hexc9474e18

3376893464 has 64 divisors (see below), whose sum is σ = 7733698560. Its totient is φ = 1349337600.

The previous prime is 3376893451. The next prime is 3376893493. The reversal of 3376893464 is 4643986733.

It is a super-2 number, since 2×33768934642 = 22806818934411838592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85289 + ... + 118439.

It is an arithmetic number, because the mean of its divisors is an integer number (120839040).

Almost surely, 23376893464 is an apocalyptic number.

3376893464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3376893464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866849280).

3376893464 is an abundant number, since it is smaller than the sum of its proper divisors (4356805096).

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

3376893464 is a wasteful number, since it uses less digits than its factorization.

3376893464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33288 (or 33284 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 53.

The square root of 3376893464 is about 58111.0442515018. The cubic root of 3376893464 is about 1500.2804607431.

The spelling of 3376893464 in words is "three billion, three hundred seventy-six million, eight hundred ninety-three thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 107 119 136 214 238 428 476 749 856 952 1498 1819 2996 3638 5992 7276 12733 14552 25466 33151 50932 66302 101864 132604 232057 265208 464114 563567 928228 1127134 1856456 2254268 3547157 3944969 4508536 7094314 7889938 14188628 15779876 24830099 28377256 31559752 49660198 60301669 99320396 120603338 198640792 241206676 422111683 482413352 844223366 1688446732 3376893464