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3072049904 = 2472113111491
BaseRepresentation
bin1011011100011011…
…1100001011110000
321221002121022020002
42313012330023300
522242421044104
61224500405132
7136061664500
oct26706741360
97832538202
103072049904
111337101620
127189a67a8
1339c5c0111
14211ddda00
1512ea7701e
hexb71bc2f0

3072049904 has 120 divisors (see below), whose sum is σ = 7797643776. Its totient is φ = 1158192000.

The previous prime is 3072049891. The next prime is 3072049909. The reversal of 3072049904 is 4099402703.

It is a super-2 number, since 2×30720499042 = 18874981225332818432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3072049909) 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 23 ways as a sum of consecutive naturals, for example, 261599 + ... + 273089.

Almost surely, 23072049904 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 3072049904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898821888).

3072049904 is an abundant number, since it is smaller than the sum of its proper divisors (4725593872).

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

3072049904 is a wasteful number, since it uses less digits than its factorization.

3072049904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11555 (or 11542 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 3072049904 is about 55426.0760292482. The cubic root of 3072049904 is about 1453.7043458885.

The spelling of 3072049904 in words is "three billion, seventy-two million, forty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 49 56 62 77 88 98 112 124 154 176 196 217 248 308 341 392 434 496 539 616 682 784 868 1078 1232 1364 1519 1736 2156 2387 2728 3038 3472 4312 4774 5456 6076 8624 9548 11491 12152 16709 19096 22982 24304 33418 38192 45964 66836 80437 91928 126401 133672 160874 183856 252802 267344 321748 356221 505604 563059 643496 712442 884807 1011208 1126118 1286992 1424884 1769614 2022416 2252236 2493547 2849768 3539228 3918431 4504472 4987094 5699536 6193649 7078456 7836862 9008944 9974188 12387298 14156912 15673724 17454829 19948376 24774596 27429017 31347448 34909658 39896752 49549192 54858034 62694896 69819316 99098384 109716068 139638632 192003119 219432136 279277264 384006238 438864272 768012476 1536024952 3072049904