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3434130 = 233572379
BaseRepresentation
bin1101000110011010010010
320110110202000
431012122102
51334343010
6201334430
741122020
oct15063222
96413660
103434130
111a36127
121197416
1393313b
14655710
1547c7c0
hex346692

3434130 has 128 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 741312.

The previous prime is 3434129. The next prime is 3434131. The reversal of 3434130 is 314343.

It is an interprime number because it is at equal distance from previous prime (3434129) and next prime (3434131).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43431 + ... + 43509.

It is an arithmetic number, because the mean of its divisors is an integer number (86400).

Almost surely, 23434130 is an apocalyptic number.

3434130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529600).

3434130 is an abundant number, since it is smaller than the sum of its proper divisors (7625070).

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

3434130 is a wasteful number, since it uses less digits than its factorization.

3434130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3434130 is about 1853.1405775062. The cubic root of 3434130 is about 150.8709333800.

Adding to 3434130 its reverse (314343), we get a palindrome (3748473).

The spelling of 3434130 in words is "three million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 79 90 105 115 126 135 138 158 161 189 207 210 230 237 270 315 322 345 378 395 414 474 483 553 621 630 690 711 790 805 945 966 1035 1106 1185 1242 1422 1449 1610 1659 1817 1890 2070 2133 2370 2415 2765 2898 3105 3318 3555 3634 4266 4347 4830 4977 5451 5530 6210 7110 7245 8295 8694 9085 9954 10665 10902 12719 14490 14931 16353 16590 18170 21330 21735 24885 25438 27255 29862 32706 38157 43470 49059 49770 54510 63595 74655 76314 81765 98118 114471 127190 149310 163530 190785 228942 245295 343413 381570 490590 572355 686826 1144710 1717065 3434130