Search a number
-
+
363445343430 = 235135352133749
BaseRepresentation
bin1010100100111110000…
…01111101010011000110
31021202010010112102011120
411102133001331103012
521423314001442210
6434544155014410
735154341306151
oct5223701752306
91252103472146
10363445343430
1113015546a924
125a53113a406
13283712c9640
141383b406c98
1596c2624270
hex549f07d4c6

363445343430 has 128 divisors (see below), whose sum is σ = 958955760000. Its totient is φ = 87604408320.

The previous prime is 363445343389. The next prime is 363445343461. The reversal of 363445343430 is 34343544363.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10752196 + ... + 10785944.

It is an arithmetic number, because the mean of its divisors is an integer number (7491841875).

Almost surely, 2363445343430 is an apocalyptic number.

363445343430 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 363445343430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479477880000).

363445343430 is an abundant number, since it is smaller than the sum of its proper divisors (595510416570).

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

363445343430 is a wasteful number, since it uses less digits than its factorization.

363445343430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34346.

The product of its (nonzero) digits is 1866240, while the sum is 42.

Adding to 363445343430 its reverse (34343544363), we get a palindrome (397788887793).

The spelling of 363445343430 in words is "three hundred sixty-three billion, four hundred forty-five million, three hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 521 530 689 795 1042 1378 1563 1590 2067 2605 3126 3445 4134 5210 6773 6890 7815 10335 13546 15630 20319 20670 27613 33749 33865 40638 55226 67498 67730 82839 101247 101595 138065 165678 168745 202494 203190 276130 337490 358969 414195 438737 506235 717938 828390 877474 1012470 1076907 1316211 1788697 1794845 2153814 2193685 2632422 3577394 3589690 4387370 5366091 5384535 6581055 8943485 10732182 10769070 13162110 17583229 17886970 23253061 26830455 35166458 46506122 52749687 53660910 69759183 87916145 105499374 116265305 139518366 175832290 228581977 232530610 263748435 348795915 457163954 527496870 685745931 697591830 931911137 1142909885 1371491862 1863822274 2285819770 2795733411 3428729655 4659555685 5591466822 6857459310 9319111370 12114844781 13978667055 24229689562 27957334110 36344534343 60574223905 72689068686 121148447810 181722671715 363445343430