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103430034 = 2351923487
BaseRepresentation
bin1100010101000…
…11011110010010
321012121210100000
412022203132102
5202434230114
614132510430
72364066201
oct612433622
9235553300
10103430034
1153424574
122a77b416
1318574b06
14da45238
159130e09
hex62a3792

103430034 has 96 divisors (see below), whose sum is σ = 255790080. Its totient is φ = 31177872.

The previous prime is 103429999. The next prime is 103430069. The reversal of 103430034 is 430034301.

It is an interprime number because it is at equal distance from previous prime (103429999) and next prime (103430069).

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

It is a junction number, because it is equal to n+sod(n) for n = 103429989 and 103430016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212139 + ... + 212625.

It is an arithmetic number, because the mean of its divisors is an integer number (2664480).

Almost surely, 2103430034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103430034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127895040).

103430034 is an abundant number, since it is smaller than the sum of its proper divisors (152360046).

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

103430034 is a wasteful number, since it uses less digits than its factorization.

103430034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

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

The square root of 103430034 is about 10170.0557520596. The cubic root of 103430034 is about 469.4062730766.

Adding to 103430034 its reverse (430034301), we get a palindrome (533464335).

The spelling of 103430034 in words is "one hundred three million, four hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 114 138 162 171 207 243 342 414 437 486 487 513 621 874 974 1026 1242 1311 1461 1539 1863 2622 2922 3078 3726 3933 4383 4617 5589 7866 8766 9234 9253 11178 11201 11799 13149 18506 22402 23598 26298 27759 33603 35397 39447 55518 67206 70794 78894 83277 100809 106191 118341 166554 201618 212382 212819 236682 249831 302427 425638 499662 604854 638457 749493 907281 1276914 1498986 1814562 1915371 2248479 2721843 3830742 4496958 5443686 5746113 11492226 17238339 34476678 51715017 103430034