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70344000 = 263253977
BaseRepresentation
bin1000011000101…
…01110101000000
311220100211211100
410030111311000
5121002002000
610551414400
71512625356
oct414256500
9156324740
1070344000
1136786541
121b684400
131175c28c
1494b17d6
156297a00
hex4315d40

70344000 has 168 divisors, whose sum is σ = 251889768. Its totient is φ = 18739200.

The previous prime is 70343983. The next prime is 70344013. The reversal of 70344000 is 44307.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 70157376 = 432^2 + 8376^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71512 + ... + 72488.

Almost surely, 270344000 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 70344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125944884).

70344000 is an abundant number, since it is smaller than the sum of its proper divisors (181545768).

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

70344000 is a wasteful number, since it uses less digits than its factorization.

70344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 70344000 is about 8387.1330024031. The cubic root of 70344000 is about 412.8025328851.

Adding to 70344000 its reverse (44307), we get a palindrome (70388307).

The spelling of 70344000 in words is "seventy million, three hundred forty-four thousand".