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345502354535430 = 235593593607150743
BaseRepresentation
bin100111010001110111000100…
…1000111000111010000000110
31200022022200222010200020020020
41032203232021013013100012
5330241202310230113210
63222453331314120010
7132526502300434251
oct11643561107072006
91608280863606206
10345502354535430
11a00a67a89a88a4
1232900807580006
1311aa296993c321
1461465904a4098
1529e2498475770
hex13a3b891c7406

345502354535430 has 128 divisors (see below), whose sum is σ = 845848944230400. Its totient is φ = 90294438705024.

The previous prime is 345502354535423. The next prime is 345502354535519. The reversal of 345502354535430 is 34535453205543.

It is a super-2 number, since 2×3455023545354302 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

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, 2291920639 + ... + 2292071381.

It is an arithmetic number, because the mean of its divisors is an integer number (6608194876800).

Almost surely, 2345502354535430 is an apocalyptic number.

345502354535430 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 345502354535430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422924472115200).

345502354535430 is an abundant number, since it is smaller than the sum of its proper divisors (500346589694970).

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

345502354535430 is a wasteful number, since it uses less digits than its factorization.

345502354535430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154778.

The product of its (nonzero) digits is 32400000, while the sum is 51.

The spelling of 345502354535430 in words is "three hundred forty-five trillion, five hundred two billion, three hundred fifty-four million, five hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 359 590 718 885 1077 1770 1795 2154 3590 3607 5385 7214 10770 10821 18035 21181 21642 36070 42362 54105 63543 105905 108210 127086 150743 211810 212813 301486 317715 425626 452229 635430 638439 753715 904458 1064065 1276878 1294913 1507430 2128130 2261145 2589826 3192195 3884739 4522290 6384390 6474565 7769478 8893837 12949130 17787674 19423695 26681511 38847390 44469185 53363022 54116737 76399867 88938370 108233474 133407555 152799734 162350211 229199601 266815110 270583685 324700422 381999335 458399202 541167370 543730001 763998670 811751055 1087460002 1145998005 1623502110 1631190003 2291996010 2718650005 3192887483 3262380006 5437300010 6385774966 8155950015 9578662449 15964437415 16311900030 19157324898 31928874830 32080070059 47893312245 64160140118 95786624490 96240210177 160400350295 192480420354 195199070359 320800700590 390398140718 481201050885 585597211077 962402101770 975995351795 1171194422154 1951990703590 2927986055385 5855972110770 11516745151181 23033490302362 34550235453543 57583725755905 69100470907086 115167451511810 172751177267715 345502354535430