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1343812608 = 21032433391
BaseRepresentation
bin101000000011000…
…1111010000000000
310110122121202100100
41100012033100000
510223004000413
6341202322400
745205135005
oct12006172000
93418552310
101343812608
1162a602336
12316059400
13185537cb8
14ca6878ac
157ce96a73
hex5018f400

1343812608 has 132 divisors (see below), whose sum is σ = 3971638528. Its totient is φ = 437391360.

The previous prime is 1343812553. The next prime is 1343812609. The reversal of 1343812608 is 8062183431.

1343812608 is a `hidden beast` number, since 1 + 3 + 4 + 38 + 12 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343812609) 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, 394593 + ... + 397983.

Almost surely, 21343812608 is an apocalyptic number.

1343812608 is a gapful number since it is divisible by the number (18) 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 1343812608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985819264).

1343812608 is an abundant number, since it is smaller than the sum of its proper divisors (2627825920).

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

1343812608 is a wasteful number, since it uses less digits than its factorization.

1343812608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1343812608 is about 36658.0497026233. The cubic root of 1343812608 is about 1103.5183784543.

The spelling of 1343812608 in words is "one billion, three hundred forty-three million, eight hundred twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1024 1032 1152 1376 1536 1548 2064 2304 2752 3072 3096 3391 4128 4608 5504 6192 6782 8256 9216 10173 11008 12384 13564 16512 20346 22016 24768 27128 30519 33024 40692 44032 49536 54256 61038 66048 81384 99072 108512 122076 132096 145813 162768 198144 217024 244152 291626 325536 396288 434048 437439 488304 583252 651072 868096 874878 976608 1166504 1302144 1312317 1736192 1749756 1953216 2333008 2604288 2624634 3472384 3499512 3906432 4666016 5208576 5249268 6999024 7812864 9332032 10417152 10498536 13998048 15625728 18664064 20997072 27996096 31251456 37328128 41994144 55992192 74656256 83988288 111984384 149312512 167976576 223968768 335953152 447937536 671906304 1343812608