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3424121430 = 2353167179307
BaseRepresentation
bin1100110000010111…
…1111001001010110
322211122002101120020
43030011333021112
524003033341210
61323434450010
7150565360212
oct31405771126
98748071506
103424121430
1114a7911124
127b6893906
13427520172
14246a89942
1515091e770
hexcc17f256

3424121430 has 128 divisors (see below), whose sum is σ = 8685895680. Its totient is φ = 862773120.

The previous prime is 3424121401. The next prime is 3424121471. The reversal of 3424121430 is 341214243.

It is a self number, because there is not a number n which added to its sum of digits gives 3424121430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11153337 + ... + 11153643.

It is an arithmetic number, because the mean of its divisors is an integer number (67858560).

Almost surely, 23424121430 is an apocalyptic number.

3424121430 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 3424121430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342947840).

3424121430 is an abundant number, since it is smaller than the sum of its proper divisors (5261774250).

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

3424121430 is a wasteful number, since it uses less digits than its factorization.

3424121430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3424121430 is about 58515.9929421009. The cubic root of 3424121430 is about 1507.2422260555.

Adding to 3424121430 its reverse (341214243), we get a palindrome (3765335673).

The spelling of 3424121430 in words is "three billion, four hundred twenty-four million, one hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 67 93 134 155 179 186 201 307 310 335 358 402 465 537 614 670 895 921 930 1005 1074 1535 1790 1842 2010 2077 2685 3070 4154 4605 5370 5549 6231 9210 9517 10385 11098 11993 12462 16647 19034 20569 20770 23986 27745 28551 31155 33294 35979 41138 47585 54953 55490 57102 59965 61707 62310 71958 83235 95170 102845 109906 119930 123414 142755 164859 166470 179895 205690 274765 285510 308535 329718 359790 371783 549530 617070 637639 743566 824295 1115349 1275278 1648590 1703543 1858915 1912917 2230698 3188195 3407086 3681851 3717830 3825834 5110629 5576745 6376390 7363702 8517715 9564585 10221258 11045553 11153490 17035430 18409255 19129170 22091106 25553145 36818510 51106290 55227765 110455530 114137381 228274762 342412143 570686905 684824286 1141373810 1712060715 3424121430