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70314048 = 263375813
BaseRepresentation
bin1000011000011…
…10100001000000
311220022022202000
410030032201000
5121000022143
610551024000
71512442140
oct414164100
9156268660
1070314048
1136765a92
121b66b000
131174b75c
1494a4920
15628dbd3
hex430e840

70314048 has 112 divisors (see below), whose sum is σ = 236280960. Its totient is φ = 20086272.

The previous prime is 70314007. The next prime is 70314089. The reversal of 70314048 is 84041307.

It is an interprime number because it is at equal distance from previous prime (70314007) and next prime (70314089).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×703140482 = 9888130692292608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9190 + ... + 15002.

Almost surely, 270314048 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 70314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118140480).

70314048 is an abundant number, since it is smaller than the sum of its proper divisors (165966912).

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

70314048 is a wasteful number, since it uses less digits than its factorization.

70314048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 70314048 is about 8385.3472200023. The cubic root of 70314048 is about 412.7439350575.

The spelling of 70314048 in words is "seventy million, three hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 5813 6048 11626 12096 17439 23252 34878 40691 46504 52317 69756 81382 93008 104634 122073 139512 156951 162764 186016 209268 244146 279024 313902 325528 366219 372032 418536 488292 558048 627804 651056 732438 837072 976584 1098657 1116096 1255608 1302112 1464876 1674144 1953168 2197314 2511216 2604224 2929752 3348288 3906336 4394628 5022432 5859504 7812672 8789256 10044864 11719008 17578512 23438016 35157024 70314048