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1354105656 = 233218807023
BaseRepresentation
bin101000010110110…
…0000001100111000
310111100222200202100
41100231200030320
510233122340111
6342211103400
745361464621
oct12055401470
93440880670
101354105656
116353a2692
123195a1b60
13187700067
14cbba6a48
157dd2b756
hex50b60338

1354105656 has 24 divisors (see below), whose sum is σ = 3667369680. Its totient is φ = 451368528.

The previous prime is 1354105619. The next prime is 1354105679. The reversal of 1354105656 is 6565014531.

1354105656 is a `hidden beast` number, since 13 + 541 + 0 + 56 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13541056562 = 3667204255222380672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1354105656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9403440 + ... + 9403583.

It is an arithmetic number, because the mean of its divisors is an integer number (152807070).

Almost surely, 21354105656 is an apocalyptic number.

It is an amenable number.

1354105656 is an abundant number, since it is smaller than the sum of its proper divisors (2313264024).

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

1354105656 is a wasteful number, since it uses less digits than its factorization.

1354105656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18807035 (or 18807028 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1354105656 is about 36798.1746286416. The cubic root of 1354105656 is about 1106.3287131965.

The spelling of 1354105656 in words is "one billion, three hundred fifty-four million, one hundred five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18807023 37614046 56421069 75228092 112842138 150456184 169263207 225684276 338526414 451368552 677052828 1354105656