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700034000 = 2453418537
BaseRepresentation
bin101001101110011…
…010101111010000
31210210020102010012
4221232122233100
52413202042000
6153244054052
723230122311
oct5156325720
91723212105
10700034000
1132a1729a6
12176534328
13b2051a03
1468d86608
15416cc735
hex29b9abd0

700034000 has 80 divisors (see below), whose sum is σ = 1734170256. Its totient is φ = 273152000.

The previous prime is 700033991. The next prime is 700034021. The reversal of 700034000 is 430007.

It can be written as a sum of positive squares in 8 ways, for example, as 269222464 + 430811536 = 16408^2 + 20756^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77732 + ... + 86268.

Almost surely, 2700034000 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 700034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867085128).

700034000 is an abundant number, since it is smaller than the sum of its proper divisors (1034136256).

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

700034000 is a wasteful number, since it uses less digits than its factorization.

700034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8601 (or 8585 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 700034000 is about 26458.1556424479. The cubic root of 700034000 is about 887.9183770985.

Adding to 700034000 its reverse (430007), we get a palindrome (700464007).

The spelling of 700034000 in words is "seven hundred million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 8537 10250 16400 17074 20500 34148 41000 42685 68296 82000 85370 136592 170740 213425 341480 350017 426850 682960 700034 853700 1067125 1400068 1707400 1750085 2134250 2800136 3414800 3500170 4268500 5600272 7000340 8537000 8750425 14000680 17074000 17500850 28001360 35001700 43752125 70003400 87504250 140006800 175008500 350017000 700034000