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3534145452 = 2233314492351
BaseRepresentation
bin1101001010100110…
…1100011110101100
3100010022010012011000
43102221230132230
524214220123302
61342405000300
7153402512025
oct32251543654
910108105130
103534145452
111553a29872
128276b3090
13444263436
14257529c4c
1515a40431c
hexd2a6c7ac

3534145452 has 96 divisors (see below), whose sum is σ = 9483264000. Its totient is φ = 1137024000.

The previous prime is 3534145409. The next prime is 3534145457. The reversal of 3534145452 is 2545414353.

3534145452 is a `hidden beast` number, since 35 + 34 + 145 + 452 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3534145457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502077 + ... + 1504427.

It is an arithmetic number, because the mean of its divisors is an integer number (98784000).

Almost surely, 23534145452 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 3534145452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741632000).

3534145452 is an abundant number, since it is smaller than the sum of its proper divisors (5949118548).

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

3534145452 is a wasteful number, since it uses less digits than its factorization.

3534145452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2836 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 3534145452 is about 59448.6791442838. The cubic root of 3534145452 is about 1523.2159306129.

The spelling of 3534145452 in words is "three billion, five hundred thirty-four million, one hundred forty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 449 558 837 898 1116 1347 1674 1796 2351 2694 3348 4041 4702 5388 7053 8082 9404 12123 13919 14106 16164 21159 24246 27838 28212 41757 42318 48492 55676 63477 72881 83514 84636 125271 126954 145762 167028 218643 250542 253908 291524 375813 437286 501084 655929 751626 874572 1055599 1311858 1503252 1967787 2111198 2623716 3166797 3935574 4222396 6333594 7871148 9500391 12667188 19000782 28501173 32723569 38001564 57002346 65447138 98170707 114004692 130894276 196341414 294512121 392682828 589024242 883536363 1178048484 1767072726 3534145452