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305400313332 = 22332827780679
BaseRepresentation
bin1000111000110110100…
…01101111010111110100
31002012021212120100222000
410130123101233113310
520000424440011312
6352144324335300
731031050555152
oct4343321572764
91065255510860
10305400313332
11108579573674
124b231b44530
1322a508ab59a
1410ad244a3d2
157e2683badc
hex471b46f5f4

305400313332 has 24 divisors (see below), whose sum is σ = 791778590400. Its totient is φ = 101800104408.

The previous prime is 305400313249. The next prime is 305400313343. The reversal of 305400313332 is 233313004503.

It is a happy number.

305400313332 is a `hidden beast` number, since 30 + 540 + 0 + 31 + 33 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 305400313296 and 305400313305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1413890232 + ... + 1413890447.

It is an arithmetic number, because the mean of its divisors is an integer number (32990774600).

Almost surely, 2305400313332 is an apocalyptic number.

It is an amenable number.

305400313332 is an abundant number, since it is smaller than the sum of its proper divisors (486378277068).

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

305400313332 is a wasteful number, since it uses less digits than its factorization.

305400313332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827780692 (or 2827780684 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 305400313332 its reverse (233313004503), we get a palindrome (538713317835).

The spelling of 305400313332 in words is "three hundred five billion, four hundred million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2827780679 5655561358 8483342037 11311122716 16966684074 25450026111 33933368148 50900052222 76350078333 101800104444 152700156666 305400313332