Search a number
-
+
3480192 = 27331953
BaseRepresentation
bin1101010001101010000000
320112210221000
431101222000
51342331232
6202332000
741403222
oct15215200
96483830
103480192
111a677a1
1211ba000
1394b0b1
14668412
1548b27c
hex351a80

3480192 has 128 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 1078272.

The previous prime is 3480163. The next prime is 3480221. The reversal of 3480192 is 2910843.

It is an interprime number because it is at equal distance from previous prime (3480163) and next prime (3480221).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34801922 = 24223472713728, which contains 22 as substring.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65638 + ... + 65690.

Almost surely, 23480192 is an apocalyptic number.

3480192 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 3480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

3480192 is an abundant number, since it is smaller than the sum of its proper divisors (7535808).

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

3480192 is a wasteful number, since it uses less digits than its factorization.

3480192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3480192 is about 1865.5272713096. The cubic root of 3480192 is about 151.5424839192.

The spelling of 3480192 in words is "three million, four hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 53 54 57 64 72 76 96 106 108 114 128 144 152 159 171 192 212 216 228 288 304 318 342 384 424 432 456 477 513 576 608 636 684 848 864 912 954 1007 1026 1152 1216 1272 1368 1431 1696 1728 1824 1908 2014 2052 2432 2544 2736 2862 3021 3392 3456 3648 3816 4028 4104 5088 5472 5724 6042 6784 7296 7632 8056 8208 9063 10176 10944 11448 12084 15264 16112 16416 18126 20352 21888 22896 24168 27189 30528 32224 32832 36252 45792 48336 54378 61056 64448 65664 72504 91584 96672 108756 128896 145008 183168 193344 217512 290016 386688 435024 580032 870048 1160064 1740096 3480192