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70310304 = 25322411013
BaseRepresentation
bin1000011000011…
…01100110100000
311220022010121100
410030031212200
5120444412204
610550554400
71512425211
oct414154640
9156263540
1070310304
1136763199
121b668a00
1311749b3c
1494a3408
15628ca39
hex430d9a0

70310304 has 72 divisors (see below), whose sum is σ = 200972772. Its totient is φ = 23316480.

The previous prime is 70310293. The next prime is 70310311. The reversal of 70310304 is 40301307.

It can be written as a sum of positive squares in 2 ways, for example, as 66389904 + 3920400 = 8148^2 + 1980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68902 + ... + 69914.

Almost surely, 270310304 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 70310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100486386).

70310304 is an abundant number, since it is smaller than the sum of its proper divisors (130662468).

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

70310304 is a wasteful number, since it uses less digits than its factorization.

70310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 70310304 is about 8385.1239704610. The cubic root of 70310304 is about 412.7366091591.

The spelling of 70310304 in words is "seventy million, three hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 241 288 482 723 964 1013 1446 1928 2026 2169 2892 3039 3856 4052 4338 5784 6078 7712 8104 8676 9117 11568 12156 16208 17352 18234 23136 24312 32416 34704 36468 48624 69408 72936 97248 145872 244133 291744 488266 732399 976532 1464798 1953064 2197197 2929596 3906128 4394394 5859192 7812256 8788788 11718384 17577576 23436768 35155152 70310304