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3496900 = 2252112172
BaseRepresentation
bin1101010101101111000100
320120122211211
431111233010
51343400100
6202541204
741503021
oct15255704
96518754
103496900
111a79300
121207804
13955894
14670548
154911ba
hex355bc4

3496900 has 81 divisors (see below), whose sum is σ = 8860327. Its totient is φ = 1196800.

The previous prime is 3496877. The next prime is 3496901. The reversal of 3496900 is 96943.

The square root of 3496900 is 1870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 81796 + 3415104 = 286^2 + 1848^2 .

It is a super-2 number, since 2×34969002 = 24456619220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3496901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 205692 + ... + 205708.

Almost surely, 23496900 is an apocalyptic number.

3496900 is the 1870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3496900

3496900 is an abundant number, since it is smaller than the sum of its proper divisors (5363427).

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

3496900 is a wasteful number, since it uses less digits than its factorization.

3496900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The cubic root of 3496900 is about 151.7846095158.

The spelling of 3496900 in words is "three million, four hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 121 170 187 220 242 275 289 340 374 425 484 550 578 605 748 850 935 1100 1156 1210 1445 1700 1870 2057 2420 2890 3025 3179 3740 4114 4675 5780 6050 6358 7225 8228 9350 10285 12100 12716 14450 15895 18700 20570 28900 31790 34969 41140 51425 63580 69938 79475 102850 139876 158950 174845 205700 317900 349690 699380 874225 1748450 3496900