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302057472 = 2113211233
BaseRepresentation
bin10010000000010…
…000100000000000
3210001101002221210
4102000100200000
51104311314342
645550050120
710325306013
oct2200204000
9701332853
10302057472
1114555a282
12851a9940
134a76b442
142c18b37a
151b7b879c
hex12010800

302057472 has 96 divisors (see below), whose sum is σ = 812579040. Its totient is φ = 99778560.

The previous prime is 302057471. The next prime is 302057473. The reversal of 302057472 is 274750203.

It is an interprime number because it is at equal distance from previous prime (302057471) and next prime (302057473).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (302057471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296268 + ... + 1296500.

It is an arithmetic number, because the mean of its divisors is an integer number (8464365).

Almost surely, 2302057472 is an apocalyptic number.

302057472 is a gapful number since it is divisible by the number (32) 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 302057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406289520).

302057472 is an abundant number, since it is smaller than the sum of its proper divisors (510521568).

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

302057472 is a wasteful number, since it uses less digits than its factorization.

302057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 302057472 is about 17379.8006893060. The cubic root of 302057472 is about 670.9598420652.

It can be divided in two parts, 30 and 2057472, that added together give a palindrome (2057502).

The spelling of 302057472 in words is "three hundred two million, fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 233 256 384 422 466 512 633 699 768 844 932 1024 1266 1398 1536 1688 1864 2048 2532 2796 3072 3376 3728 5064 5592 6144 6752 7456 10128 11184 13504 14912 20256 22368 27008 29824 40512 44736 49163 54016 59648 81024 89472 98326 108032 119296 147489 162048 178944 196652 216064 238592 294978 324096 357888 393304 432128 477184 589956 648192 715776 786608 1179912 1296384 1431552 1573216 2359824 3146432 4719648 6292864 9439296 12585728 18878592 25171456 37757184 50342912 75514368 100685824 151028736 302057472