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700345044 = 223272974093
BaseRepresentation
bin101001101111100…
…110101011010100
31210210211012210100
4221233212223110
52413242020134
6153254454100
723232556200
oct5157465324
91723735710
10700345044
1132a365663
12176664330
13b2130469
1469027b00
154173e999
hex29be6ad4

700345044 has 108 divisors (see below), whose sum is σ = 2081086644. Its totient is φ = 197987328.

The previous prime is 700345031. The next prime is 700345049. The reversal of 700345044 is 440543007.

It can be written as a sum of positive squares in 2 ways, for example, as 302342544 + 398002500 = 17388^2 + 19950^2 .

It is a junction number, because it is equal to n+sod(n) for n = 700344999 and 700345017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700345049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169062 + ... + 173154.

Almost surely, 2700345044 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 700345044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040543322).

700345044 is an abundant number, since it is smaller than the sum of its proper divisors (1380741600).

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

700345044 is a wasteful number, since it uses less digits than its factorization.

700345044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 700345044 is about 26464.0330259770. The cubic root of 700345044 is about 888.0498663255.

It can be divided in two parts, 70034 and 5044, that added together give a triangular number (75078 = T387).

The spelling of 700345044 in words is "seven hundred million, three hundred forty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 97 98 126 147 194 196 252 291 294 388 441 582 588 679 873 882 1164 1358 1746 1764 2037 2716 3492 4074 4093 4753 6111 8148 8186 9506 12222 12279 14259 16372 19012 24444 24558 28518 28651 36837 42777 49116 57036 57302 73674 85554 85953 114604 147348 171108 171906 200557 257859 343812 397021 401114 515718 601671 794042 802228 1031436 1191063 1203342 1588084 1805013 2382126 2406684 2779147 3573189 3610026 4764252 5558294 7146378 7220052 8337441 11116588 14292756 16674882 19454029 25012323 33349764 38908058 50024646 58362087 77816116 100049292 116724174 175086261 233448348 350172522 700345044