Search a number
-
+
345110021632 = 2915119123371
BaseRepresentation
bin1010000010110100010…
…10010000011000000000
31012222210022101120010001
411001122022100120000
521123241131143012
6422312533245344
733635101532365
oct5013212203000
91188708346101
10345110021632
111233a6679212
1256a74793854
132670b781bbc
14129bc25046c
158e9cad1357
hex505a290600

345110021632 has 80 divisors (see below), whose sum is σ = 697776482304. Its totient is φ = 170507520000.

The previous prime is 345110021623. The next prime is 345110021647. The reversal of 345110021632 is 236120011543.

It is a self number, because there is not a number n which added to its sum of digits gives 345110021632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14754907 + ... + 14778277.

Almost surely, 2345110021632 is an apocalyptic number.

345110021632 is a gapful number since it is divisible by the number (32) 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 345110021632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348888241152).

345110021632 is an abundant number, since it is smaller than the sum of its proper divisors (352666460672).

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

345110021632 is a wasteful number, since it uses less digits than its factorization.

345110021632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23731 (or 23715 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 345110021632 in words is "three hundred forty-five billion, one hundred ten million, twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 151 191 256 302 382 512 604 764 1208 1528 2416 3056 4832 6112 9664 12224 19328 23371 24448 28841 38656 46742 48896 57682 77312 93484 97792 115364 186968 230728 373936 461456 747872 922912 1495744 1845824 2991488 3529021 3691648 4463861 5982976 7058042 7383296 8927722 11965952 14116084 14766592 17855444 28232168 35710888 56464336 71421776 112928672 142843552 225857344 285687104 451714688 571374208 674043011 903429376 1142748416 1348086022 1806858752 2285496832 2696172044 5392344088 10784688176 21569376352 43138752704 86277505408 172555010816 345110021632