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1368453408 = 253719710337
BaseRepresentation
bin101000110010000…
…1111000100100000
310112100222122011120
41101210033010200
510300311002113
6343442412240
745624443040
oct12144170440
93470878146
101368453408
11642502333
12322361080
1318a68485a
14cda5d720
1580212a23
hex5190f120

1368453408 has 96 divisors (see below), whose sum is σ = 4126598784. Its totient is φ = 388964352.

The previous prime is 1368453377. The next prime is 1368453413. The reversal of 1368453408 is 8043548631.

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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1368453408.

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 15 ways as a sum of consecutive naturals, for example, 127216 + ... + 137552.

It is an arithmetic number, because the mean of its divisors is an integer number (42985404).

Almost surely, 21368453408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1368453408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063299392).

1368453408 is an abundant number, since it is smaller than the sum of its proper divisors (2758145376).

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

1368453408 is a wasteful number, since it uses less digits than its factorization.

1368453408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10554 (or 10546 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 1368453408 is about 36992.6128841962. The cubic root of 1368453408 is about 1110.2224503441. Note that the first 3 decimals are identical.

The spelling of 1368453408 in words is "one billion, three hundred sixty-eight million, four hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 197 224 336 394 591 672 788 1182 1379 1576 2364 2758 3152 4137 4728 5516 6304 8274 9456 10337 11032 16548 18912 20674 22064 31011 33096 41348 44128 62022 66192 72359 82696 124044 132384 144718 165392 217077 248088 289436 330784 434154 496176 578872 868308 992352 1157744 1736616 2036389 2315488 3473232 4072778 6109167 6946464 8145556 12218334 14254723 16291112 24436668 28509446 32582224 42764169 48873336 57018892 65164448 85528338 97746672 114037784 171056676 195493344 228075568 342113352 456151136 684226704 1368453408