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10349430 = 23571317223
BaseRepresentation
bin100111011110…
…101101110110
3201110210202020
4213132231312
510122140210
61005454010
7153653160
oct47365566
921423666
1010349430
115929753
123571306
1321b4930
141535930
15d96770
hex9deb76

10349430 has 128 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 2045952.

The previous prime is 10349419. The next prime is 10349431. The reversal of 10349430 is 3494301.

10349430 is nontrivially palindromic in base 4.

It is a super-2 number, since 2×103494302 = 214221402649800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10349430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10349431) 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, 46299 + ... + 46521.

It is an arithmetic number, because the mean of its divisors is an integer number (254016).

Almost surely, 210349430 is an apocalyptic number.

10349430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10349430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

10349430 is an abundant number, since it is smaller than the sum of its proper divisors (22164618).

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

10349430 is a wasteful number, since it uses less digits than its factorization.

10349430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 10349430 is about 3217.0529992526. The cubic root of 10349430 is about 217.9242084254.

The spelling of 10349430 in words is "ten million, three hundred forty-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 17 21 26 30 34 35 39 42 51 65 70 78 85 91 102 105 119 130 170 182 195 210 221 223 238 255 273 357 390 442 446 455 510 546 595 663 669 714 910 1105 1115 1190 1326 1338 1365 1547 1561 1785 2210 2230 2730 2899 3094 3122 3315 3345 3570 3791 4641 4683 5798 6630 6690 7582 7735 7805 8697 9282 9366 11373 14495 15470 15610 17394 18955 20293 22746 23205 23415 26537 28990 37910 40586 43485 46410 46830 49283 53074 56865 60879 79611 86970 98566 101465 113730 121758 132685 147849 159222 202930 246415 265370 295698 304395 344981 398055 492830 608790 689962 739245 796110 1034943 1478490 1724905 2069886 3449810 5174715 10349430