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1344342912 = 27311228933
BaseRepresentation
bin101000000100001…
…0000101110000000
310110200121200210020
41100020100232000
510223122433122
6341221533440
745212504043
oct12010205600
93420550706
101344342912
1162a934800
12316274280
131856924a3
14ca784c5a
157d04dc5c
hex50210b80

1344342912 has 96 divisors (see below), whose sum is σ = 3925186440. Its totient is φ = 407362560.

The previous prime is 1344342899. The next prime is 1344342913. The reversal of 1344342912 is 2192434431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344342913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31998 + ... + 60930.

Almost surely, 21344342912 is an apocalyptic number.

1344342912 is a gapful number since it is divisible by the number (12) 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 1344342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962593220).

1344342912 is an abundant number, since it is smaller than the sum of its proper divisors (2580843528).

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

1344342912 is a wasteful number, since it uses less digits than its factorization.

1344342912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28972 (or 28949 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 1344342912 is about 36665.2821071924. The cubic root of 1344342912 is about 1103.6635185443.

The spelling of 1344342912 in words is "one billion, three hundred forty-four million, three hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 28933 46464 57866 86799 115732 173598 231464 318263 347196 462928 636526 694392 925856 954789 1273052 1388784 1851712 1909578 2546104 2777568 3500893 3703424 3819156 5092208 5555136 7001786 7638312 10184416 10502679 11110272 14003572 15276624 20368832 21005358 28007144 30553248 40737664 42010716 56014288 61106496 84021432 112028576 122212992 168042864 224057152 336085728 448114304 672171456 1344342912