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1354144608 = 25331567297
BaseRepresentation
bin101000010110110…
…1001101101100000
310111101001200012000
41100231221231200
510233130111413
6342212004000
745362016315
oct12055515540
93441050160
101354144608
11635419983
12319600600
131877149cb
14cbbb6d0c
157dd38073
hex50b69b60

1354144608 has 48 divisors (see below), whose sum is σ = 3949590960. Its totient is φ = 451381248.

The previous prime is 1354144607. The next prime is 1354144621. The reversal of 1354144608 is 8064414531.

1354144608 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 1 + 44 + 608 = 666.

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

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 (1354144607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782785 + ... + 784512.

It is an arithmetic number, because the mean of its divisors is an integer number (82283145).

Almost surely, 21354144608 is an apocalyptic number.

1354144608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1354144608 is an abundant number, since it is smaller than the sum of its proper divisors (2595446352).

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

1354144608 is a wasteful number, since it uses less digits than its factorization.

1354144608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567316 (or 1567302 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1354144608 is about 36798.7038902187. The cubic root of 1354144608 is about 1106.3393212566.

The spelling of 1354144608 in words is "one billion, three hundred fifty-four million, one hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1567297 3134594 4701891 6269188 9403782 12538376 14105673 18807564 25076752 28211346 37615128 42317019 50153504 56422692 75230256 84634038 112845384 150460512 169268076 225690768 338536152 451381536 677072304 1354144608