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34147890 = 2325767809
BaseRepresentation
bin1000001001000…
…0111000110010
32101020220002200
42002100320302
532220213030
63215524030
7563152350
oct202207062
971226080
1034147890
11183038a7
12b529616
1370c7c6a
14476c7d0
152ee7d60
hex2090e32

34147890 has 96 divisors (see below), whose sum is σ = 103109760. Its totient is φ = 7679232.

The previous prime is 34147889. The next prime is 34147907. The reversal of 34147890 is 9874143.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41806 + ... + 42614.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 234147890 is an apocalyptic number.

34147890 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 34147890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51554880).

34147890 is an abundant number, since it is smaller than the sum of its proper divisors (68961870).

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

34147890 is a wasteful number, since it uses less digits than its factorization.

34147890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 34147890 is about 5843.6195974755. The cubic root of 34147890 is about 324.4302126827.

The spelling of 34147890 in words is "thirty-four million, one hundred forty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 67 70 90 105 126 134 201 210 315 335 402 469 603 630 670 809 938 1005 1206 1407 1618 2010 2345 2427 2814 3015 4045 4221 4690 4854 5663 6030 7035 7281 8090 8442 11326 12135 14070 14562 16989 21105 24270 28315 33978 36405 42210 50967 54203 56630 72810 84945 101934 108406 162609 169890 254835 271015 325218 379421 487827 509670 542030 758842 813045 975654 1138263 1626090 1897105 2276526 2439135 3414789 3794210 4878270 5691315 6829578 11382630 17073945 34147890