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300064140 = 223251998377
BaseRepresentation
bin10001111000101…
…001110110001100
3202220121211121200
4101320221312030
51103304023030
645435225500
710302334365
oct2170516614
9686554550
10300064140
111444186a2
12845a8290
134a22105c
142bbccb6c
151b522d60
hex11e29d8c

300064140 has 72 divisors (see below), whose sum is σ = 914877600. Its totient is φ = 79605504.

The previous prime is 300064139. The next prime is 300064151. The reversal of 300064140 is 41460003.

It is a super-2 number, since 2×3000641402 = 180076976227879200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 31632 + ... + 40008.

Almost surely, 2300064140 is an apocalyptic number.

300064140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300064140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457438800).

300064140 is an abundant number, since it is smaller than the sum of its proper divisors (614813460).

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

300064140 is a wasteful number, since it uses less digits than its factorization.

300064140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 300064140 is about 17322.3595390466. The cubic root of 300064140 is about 669.4806549375.

The spelling of 300064140 in words is "three hundred million, sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 398 597 796 995 1194 1791 1990 2388 2985 3582 3980 5970 7164 8377 8955 11940 16754 17910 25131 33508 35820 41885 50262 75393 83770 100524 125655 150786 167540 251310 301572 376965 502620 753930 1507860 1667023 3334046 5001069 6668092 8335115 10002138 15003207 16670230 20004276 25005345 30006414 33340460 50010690 60012828 75016035 100021380 150032070 300064140