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348326430 = 2351719103349
BaseRepresentation
bin10100110000110…
…000101000011110
3220021102211000220
4110300300220132
51203132421210
654321502210
711426503644
oct2460605036
9807384026
10348326430
11169691891
12987a1966
135721b51a
1434393194
15208a7c70
hex14c30a1e

348326430 has 128 divisors (see below), whose sum is σ = 943488000. Its totient is φ = 81782784.

The previous prime is 348326371. The next prime is 348326431. The reversal of 348326430 is 34623843.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 348326391 and 348326400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348326431) 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, 997896 + ... + 998244.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2348326430 is an apocalyptic number.

348326430 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 348326430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

348326430 is an abundant number, since it is smaller than the sum of its proper divisors (595161570).

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

348326430 is a wasteful number, since it uses less digits than its factorization.

348326430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498.

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 348326430 is about 18663.5052977730. The cubic root of 348326430 is about 703.6048259448.

The spelling of 348326430 in words is "three hundred forty-eight million, three hundred twenty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 103 114 170 190 206 255 285 309 323 349 510 515 570 618 646 698 969 1030 1047 1545 1615 1745 1751 1938 1957 2094 3090 3230 3490 3502 3914 4845 5235 5253 5871 5933 6631 8755 9690 9785 10470 10506 11742 11866 13262 17510 17799 19570 19893 26265 29355 29665 33155 33269 35598 35947 39786 52530 58710 59330 66310 66538 71894 88995 99465 99807 107841 112727 166345 177990 179735 198930 199614 215682 225454 332690 338181 359470 499035 539205 563635 611099 676362 682993 998070 1078410 1127270 1222198 1365986 1690905 1833297 2048979 3055495 3381810 3414965 3666594 4097958 6110990 6829930 9166485 10244895 11610881 18332970 20489790 23221762 34832643 58054405 69665286 116108810 174163215 348326430