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3534272 = 267423
BaseRepresentation
bin1101011110110111000000
320122120002222
431132313000
51401044042
6203430212
742020000
oct15366700
96576088
103534272
111aa4395
121225368
139698b1
14680000
1549c2d2
hex35edc0

3534272 has 70 divisors (see below), whose sum is σ = 8537448. Its totient is φ = 1448832.

The previous prime is 3534269. The next prime is 3534281. The reversal of 3534272 is 2724353.

It is a d-powerful number, because it can be written as 3 + 59 + 34 + 410 + 213 + 7 + 219 .

Its product of digits (5040) is a multiple of the sum of its prime factors (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153653 + ... + 153675.

Almost surely, 23534272 is an apocalyptic number.

3534272 is a gapful number since it is divisible by the number (32) 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 3534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268724).

3534272 is an abundant number, since it is smaller than the sum of its proper divisors (5003176).

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

3534272 is an frugal number, since it uses more digits than its factorization.

3534272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 32 counting only the distinct ones).

The product of its digits is 5040, while the sum is 26.

The square root of 3534272 is about 1879.9659571386. The cubic root of 3534272 is about 152.3234111116.

The spelling of 3534272 in words is "three million, five hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 161 184 196 224 322 343 368 392 448 644 686 736 784 1127 1288 1372 1472 1568 2254 2401 2576 2744 3136 4508 4802 5152 5488 7889 9016 9604 10304 10976 15778 18032 19208 21952 31556 36064 38416 55223 63112 72128 76832 110446 126224 153664 220892 252448 441784 504896 883568 1767136 3534272