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3450096 = 2432131997
BaseRepresentation
bin1101001010010011110000
320111021122100
431022103300
51340400341
6201540400
741216406
oct15122360
96437570
103450096
111a47121
1211a4700
1393a4a0
1465b476
154823b6
hex34a4f0

3450096 has 120 divisors (see below), whose sum is σ = 11058320. Its totient is φ = 995328.

The previous prime is 3450091. The next prime is 3450107. The reversal of 3450096 is 6900543.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3450091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35520 + ... + 35616.

Almost surely, 23450096 is an apocalyptic number.

3450096 is a gapful number since it is divisible by the number (36) 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 3450096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529160).

3450096 is an abundant number, since it is smaller than the sum of its proper divisors (7608224).

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

3450096 is a wasteful number, since it uses less digits than its factorization.

3450096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3450096 is about 1857.4434042522. The cubic root of 3450096 is about 151.1043823096.

It can be divided in two parts, 34500 and 96, that added together give a square (34596 = 1862).

The spelling of 3450096 in words is "three million, four hundred fifty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 97 104 114 117 144 152 156 171 194 208 228 234 247 291 304 312 342 388 456 468 494 582 624 684 741 776 873 912 936 988 1164 1261 1368 1482 1552 1746 1843 1872 1976 2223 2328 2522 2736 2964 3492 3686 3783 3952 4446 4656 5044 5529 5928 6984 7372 7566 8892 10088 11058 11349 11856 13968 14744 15132 16587 17784 20176 22116 22698 23959 29488 30264 33174 35568 44232 45396 47918 60528 66348 71877 88464 90792 95836 132696 143754 181584 191672 215631 265392 287508 383344 431262 575016 862524 1150032 1725048 3450096