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34893152 = 257155773
BaseRepresentation
bin1000010100011…
…0110101100000
32102122202101222
42011012311200
532413040102
63243514212
7602405210
oct205066540
972582358
1034893152
1118772818
12b828968
1372c9248
1448c4240
1530e3aa2
hex2146d60

34893152 has 24 divisors (see below), whose sum is σ = 78510096. Its totient is φ = 14954112.

The previous prime is 34893151. The next prime is 34893169. The reversal of 34893152 is 25139843.

It is a super-3 number, since 3×348931523 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34893151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77663 + ... + 78110.

It is an arithmetic number, because the mean of its divisors is an integer number (3271254).

Almost surely, 234893152 is an apocalyptic number.

34893152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34893152 is an abundant number, since it is smaller than the sum of its proper divisors (43616944).

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

34893152 is a wasteful number, since it uses less digits than its factorization.

34893152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155790 (or 155782 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 34893152 is about 5907.0425764506. The cubic root of 34893152 is about 326.7734280134.

The spelling of 34893152 in words is "thirty-four million, eight hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 155773 311546 623092 1090411 1246184 2180822 2492368 4361644 4984736 8723288 17446576 34893152