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70311618 = 23313372707
BaseRepresentation
bin1000011000011…
…01111011000010
311220022012102000
410030031323002
5120444432433
610551004430
71512432066
oct414157302
9156265360
1070311618
1136764183
121b669716
131174a610
1494a3aa6
15628d113
hex430dec2

70311618 has 64 divisors (see below), whose sum is σ = 172878720. Its totient is φ = 21041856.

The previous prime is 70311613. The next prime is 70311623. The reversal of 70311618 is 81611307.

It is an interprime number because it is at equal distance from previous prime (70311613) and next prime (70311623).

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

It is a junction number, because it is equal to n+sod(n) for n = 70311591 and 70311600.

It is not an unprimeable number, because it can be changed into a prime (70311613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24621 + ... + 27327.

It is an arithmetic number, because the mean of its divisors is an integer number (2701230).

Almost surely, 270311618 is an apocalyptic number.

70311618 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 70311618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86439360).

70311618 is an abundant number, since it is smaller than the sum of its proper divisors (102567102).

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

70311618 is a wasteful number, since it uses less digits than its factorization.

70311618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 70311618 is about 8385.2023231405. The cubic root of 70311618 is about 412.7391802973.

It can be divided in two parts, 7031 and 1618, that added together give a square (8649 = 932).

The spelling of 70311618 in words is "seventy million, three hundred eleven thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 111 117 222 234 333 351 481 666 702 962 999 1443 1998 2707 2886 4329 5414 8121 8658 12987 16242 24363 25974 35191 48726 70382 73089 100159 105573 146178 200318 211146 300477 316719 600954 633438 901431 950157 1302067 1802862 1900314 2604134 2704293 3906201 5408586 7812402 11718603 23437206 35155809 70311618