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350234050440 = 233517322375653
BaseRepresentation
bin1010001100010111001…
…00110111111110001000
31020111000102011012012210
411012023210313332020
521214234404103230
6424521215105120
734206061211031
oct5061344677610
91214012135183
10350234050440
11125595a9996a
1257a648121a0
1327047218401
1412d46999a88
15919c886eb0
hex518b937f88

350234050440 has 128 divisors (see below), whose sum is σ = 1061528509440. Its totient is φ = 92438270976.

The previous prime is 350234050393. The next prime is 350234050447. The reversal of 350234050440 is 44050432053.

350234050440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 350234050398 and 350234050407.

It is not an unprimeable number, because it can be changed into a prime (350234050447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4591654 + ... + 4667306.

It is an arithmetic number, because the mean of its divisors is an integer number (8293191480).

Almost surely, 2350234050440 is an apocalyptic number.

350234050440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350234050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530764254720).

350234050440 is an abundant number, since it is smaller than the sum of its proper divisors (711294459000).

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

350234050440 is a wasteful number, since it uses less digits than its factorization.

350234050440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76063 (or 76059 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 350234050440 its reverse (44050432053), we get a palindrome (394284482493).

The spelling of 350234050440 in words is "three hundred fifty billion, two hundred thirty-four million, fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 223 346 446 519 669 692 865 892 1038 1115 1338 1384 1730 1784 2076 2230 2595 2676 3345 3460 4152 4460 5190 5352 6690 6920 8920 10380 13380 20760 26760 38579 75653 77158 115737 151306 154316 192895 226959 231474 302612 308632 378265 385790 453918 462948 578685 605224 756530 771580 907836 925896 1134795 1157370 1513060 1543160 1815672 2269590 2314740 3026120 4539180 4629480 9078360 13087969 16870619 26175938 33741238 39263907 50611857 52351876 65439845 67482476 78527814 84353095 101223714 104703752 130879690 134964952 157055628 168706190 196319535 202447428 253059285 261759380 314111256 337412380 392639070 404894856 506118570 523518760 674824760 785278140 1012237140 1570556280 2024474280 2918617087 5837234174 8755851261 11674468348 14593085435 17511702522 23348936696 29186170870 35023405044 43779256305 58372341740 70046810088 87558512610 116744683480 175117025220 350234050440