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3344494464 = 27322903207
BaseRepresentation
bin1100011101011000…
…1110111110000000
322122002020220220100
43013112032332000
523322142310324
61311512042400
7145610506503
oct30726167600
98562226810
103344494464
111466975213
12794093400
13413b9080c
1423a27d13a
151489414c9
hexc758ef80

3344494464 has 48 divisors (see below), whose sum is σ = 9624134520. Its totient is φ = 1114831104.

The previous prime is 3344494451. The next prime is 3344494477. The reversal of 3344494464 is 4644944433.

3344494464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3344494451) and next prime (3344494477).

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

It is a super-2 number, since 2×33444944642 = 22371286439453294592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1450452 + ... + 1452755.

Almost surely, 23344494464 is an apocalyptic number.

It is an amenable number.

3344494464 is an abundant number, since it is smaller than the sum of its proper divisors (6279640056).

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

3344494464 is a wasteful number, since it uses less digits than its factorization.

3344494464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903227 (or 2903212 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The square root of 3344494464 is about 57831.6043699291. The cubic root of 3344494464 is about 1495.4669762633.

The spelling of 3344494464 in words is "three billion, three hundred forty-four million, four hundred ninety-four thousand, four hundred sixty-four".

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 2903207 5806414 8709621 11612828 17419242 23225656 26128863 34838484 46451312 52257726 69676968 92902624 104515452 139353936 185805248 209030904 278707872 371610496 418061808 557415744 836123616 1114831488 1672247232 3344494464