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3492072 = 233417317
BaseRepresentation
bin1101010100100011101000
320120102020000
431110203220
51343221242
6202503000
741452653
oct15244350
96512200
103492072
111a75711
121204a60
1395361c
1466c89a
1548ea4c
hex3548e8

3492072 has 80 divisors (see below), whose sum is σ = 10389060. Its totient is φ = 1092096.

The previous prime is 3492061. The next prime is 3492077. The reversal of 3492072 is 2702943.

It can be written as a sum of positive squares in 2 ways, for example, as 3437316 + 54756 = 1854^2 + 234^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3492077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10858 + ... + 11174.

Almost surely, 23492072 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 3492072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194530).

3492072 is an abundant number, since it is smaller than the sum of its proper divisors (6896988).

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

3492072 is a wasteful number, since it uses less digits than its factorization.

3492072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3492072 is about 1868.7086450274. The cubic root of 3492072 is about 151.7147234635.

The spelling of 3492072 in words is "three million, four hundred ninety-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 317 324 408 459 612 634 648 918 951 1224 1268 1377 1836 1902 2536 2754 2853 3672 3804 5389 5508 5706 7608 8559 10778 11016 11412 16167 17118 21556 22824 25677 32334 34236 43112 48501 51354 64668 68472 97002 102708 129336 145503 194004 205416 291006 388008 436509 582012 873018 1164024 1746036 3492072