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3344992640 = 27511475141
BaseRepresentation
bin1100011101100000…
…1000100110000000
322122010012020021022
43013120020212000
523322304231030
61311530445012
7145614653063
oct30730104600
98563166238
103344992640
111467185530
12794293768
134140064b2
1423a36c8da
151489ddde5
hexc7608980

3344992640 has 64 divisors (see below), whose sum is σ = 8723607120. Its totient is φ = 1216358400.

The previous prime is 3344992633. The next prime is 3344992663. The reversal of 3344992640 is 462994433.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33449926402 = 22377951523308339200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3344992591 and 3344992600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230531 + ... + 244610.

Almost surely, 23344992640 is an apocalyptic number.

It is an amenable number.

3344992640 is an abundant number, since it is smaller than the sum of its proper divisors (5378614480).

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

3344992640 is a wasteful number, since it uses less digits than its factorization.

3344992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475171 (or 475159 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 44.

The square root of 3344992640 is about 57835.9113354324. The cubic root of 3344992640 is about 1495.5412245318.

The spelling of 3344992640 in words is "three billion, three hundred forty-four million, nine hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 475141 950282 1900564 2375705 3801128 4751410 5226551 7602256 9502820 10453102 15204512 19005640 20906204 26132755 30409024 38011280 41812408 52265510 60818048 76022560 83624816 104531020 152045120 167249632 209062040 304090240 334499264 418124080 668998528 836248160 1672496320 3344992640