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3029740524 = 223510729131
BaseRepresentation
bin1011010010010110…
…0010101111101100
321211010222202200000
42310211202233230
522201103144044
61220345504300
7135036240516
oct26445425754
97733882600
103029740524
111315233998
127067a2090
133938c8395
1420a548bb6
1512aebad69
hexb4962bec

3029740524 has 72 divisors (see below), whose sum is σ = 8016660288. Its totient is φ = 1000440720.

The previous prime is 3029740487. The next prime is 3029740537. The reversal of 3029740524 is 4250479203.

3029740524 is a `hidden beast` number, since 3 + 0 + 2 + 97 + 40 + 524 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89439 + ... + 118569.

It is an arithmetic number, because the mean of its divisors is an integer number (111342504).

Almost surely, 23029740524 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 3029740524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008330144).

3029740524 is an abundant number, since it is smaller than the sum of its proper divisors (4986919764).

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

3029740524 is a wasteful number, since it uses less digits than its factorization.

3029740524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29257 (or 29243 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3029740524 is about 55043.0788019711. The cubic root of 3029740524 is about 1446.9998250397. Note that the first 3 decimals are identical.

The spelling of 3029740524 in words is "three billion, twenty-nine million, seven hundred forty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 642 963 972 1284 1926 2889 3852 5778 8667 11556 17334 26001 29131 34668 52002 58262 87393 104004 116524 174786 262179 349572 524358 786537 1048716 1573074 2359611 3117017 3146148 4719222 6234034 7078833 9351051 9438444 12468068 14157666 18702102 28053153 28315332 37404204 56106306 84159459 112212612 168318918 252478377 336637836 504956754 757435131 1009913508 1514870262 3029740524