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3069037728 = 253311093203
BaseRepresentation
bin1011011011101101…
…1100110010100000
321220212221021022000
42312323130302200
522241133201403
61224312044000
7136024250601
oct26673346240
97825837260
103069037728
111335434519
12717993600
1339baa7073
14211857da8
1512e67e7a3
hexb6edcca0

3069037728 has 96 divisors (see below), whose sum is σ = 8962228800. Its totient is φ = 1021771008.

The previous prime is 3069037721. The next prime is 3069037733. The reversal of 3069037728 is 8277309603.

It is a happy number.

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 (3069037721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 956575 + ... + 959777.

It is an arithmetic number, because the mean of its divisors is an integer number (93356550).

Almost surely, 23069037728 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 3069037728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481114400).

3069037728 is an abundant number, since it is smaller than the sum of its proper divisors (5893191072).

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

3069037728 is a wasteful number, since it uses less digits than its factorization.

3069037728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3069037728 is about 55398.8964511027. The cubic root of 3069037728 is about 1453.2290665782.

The spelling of 3069037728 in words is "three billion, sixty-nine million, thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1109 2218 3203 3327 4436 6406 6654 8872 9609 9981 12812 13308 17744 19218 19962 25624 26616 28827 29943 35488 38436 39924 51248 53232 57654 59886 76872 79848 86481 102496 106464 115308 119772 153744 159696 172962 230616 239544 307488 319392 345924 461232 479088 691848 922464 958176 1383696 2767392 3552127 7104254 10656381 14208508 21312762 28417016 31969143 42625524 56834032 63938286 85251048 95907429 113668064 127876572 170502096 191814858 255753144 341004192 383629716 511506288 767259432 1023012576 1534518864 3069037728