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305077400 = 235211313499
BaseRepresentation
bin10010001011110…
…001110010011000
3210021001112111222
4102023301302120
51111044434100
650134511212
710363054325
oct2213616230
9707045458
10305077400
11147232191
1286205508
134b287b94
142c735b4c
151bbb3485
hex122f1c98

305077400 has 48 divisors (see below), whose sum is σ = 715635000. Its totient is φ = 120942080.

The previous prime is 305077387. The next prime is 305077403. The reversal of 305077400 is 4770503.

It is a self number, because there is not a number n which added to its sum of digits gives 305077400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305077403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15851 + ... + 29349.

Almost surely, 2305077400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357817500).

305077400 is an abundant number, since it is smaller than the sum of its proper divisors (410557600).

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

305077400 is a wasteful number, since it uses less digits than its factorization.

305077400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13628 (or 13619 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 305077400 is about 17466.4650115586. The cubic root of 305077400 is about 673.1884852188.

The spelling of 305077400 in words is "three hundred five million, seventy-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 13499 22600 26998 53996 67495 107992 134990 269980 337475 539960 674950 1349900 1525387 2699800 3050774 6101548 7626935 12203096 15253870 30507740 38134675 61015480 76269350 152538700 305077400