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3374208 = 273229101
BaseRepresentation
bin1100110111110010000000
320100102112200
430313302000
51330433313
6200153200
740452225
oct14676200
96312480
103374208
1119a5102
121168800
13911a96
1463b94c
15469b73
hex337c80

3374208 has 96 divisors (see below), whose sum is σ = 10143900. Its totient is φ = 1075200.

The previous prime is 3374201. The next prime is 3374233. The reversal of 3374208 is 8024733.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 304704 = 1752^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33742082 = 22770559254528, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3374201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33358 + ... + 33458.

Almost surely, 23374208 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 3374208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071950).

3374208 is an abundant number, since it is smaller than the sum of its proper divisors (6769692).

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

3374208 is a wasteful number, since it uses less digits than its factorization.

3374208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3374208 is about 1836.9017393426. The cubic root of 3374208 is about 149.9882657487.

The spelling of 3374208 in words is "three million, three hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 101 116 128 144 174 192 202 232 261 288 303 348 384 404 464 522 576 606 696 808 909 928 1044 1152 1212 1392 1616 1818 1856 2088 2424 2784 2929 3232 3636 3712 4176 4848 5568 5858 6464 7272 8352 8787 9696 11136 11716 12928 14544 16704 17574 19392 23432 26361 29088 33408 35148 38784 46864 52722 58176 70296 93728 105444 116352 140592 187456 210888 281184 374912 421776 562368 843552 1124736 1687104 3374208