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3413204010 = 2325291307741
BaseRepresentation
bin1100101101110001…
…0101110000101010
322210212112201200100
43023130111300222
523442240012020
61322404450230
7150403520046
oct31334256052
98725481610
103413204010
1114a1734767
127b30a9976
13425199b58
14245447026
1514e9b4a90
hexcb715c2a

3413204010 has 48 divisors (see below), whose sum is σ = 9180348840. Its totient is φ = 878801280.

The previous prime is 3413203973. The next prime is 3413204017. The reversal of 3413204010 is 104023143.

3413204010 is a `hidden beast` number, since 341 + 320 + 4 + 0 + 1 + 0 = 666.

3413204010 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3147546609 + 265657401 = 56103^2 + 16299^2 .

It is a super-2 number, since 2×34132040102 = 23299923227760160200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3413204017) 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, 651261 + ... + 656480.

Almost surely, 23413204010 is an apocalyptic number.

3413204010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3413204010 is an abundant number, since it is smaller than the sum of its proper divisors (5767144830).

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

3413204010 is a wasteful number, since it uses less digits than its factorization.

3413204010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307783 (or 1307780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3413204010 is about 58422.6326863143. The cubic root of 3413204010 is about 1505.6386306701.

Adding to 3413204010 its reverse (104023143), we get a palindrome (3517227153).

The spelling of 3413204010 in words is "three billion, four hundred thirteen million, two hundred four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 1307741 2615482 3923223 6538705 7846446 11769669 13077410 19616115 23539338 37924489 39232230 58848345 75848978 113773467 117696690 189622445 227546934 341320401 379244890 568867335 682640802 1137734670 1706602005 3413204010