Search a number
-
+
3043038672 = 243329534583
BaseRepresentation
bin1011010101100001…
…0001010111010000
321212002000101022000
42311120101113100
522213004214142
61221542514000
7135260254602
oct26530212720
97762011260
103043038672
111321796aa3
1270b135900
133965a31cb
1420c20b172
1512c24614c
hexb56115d0

3043038672 has 160 divisors (see below), whose sum is σ = 9208339200. Its totient is φ = 960680448.

The previous prime is 3043038671. The next prime is 3043038673. The reversal of 3043038672 is 2768303403.

It is an interprime number because it is at equal distance from previous prime (3043038671) and next prime (3043038673).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3043038671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661693 + ... + 666275.

It is an arithmetic number, because the mean of its divisors is an integer number (57552120).

Almost surely, 23043038672 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 3043038672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604169600).

3043038672 is an abundant number, since it is smaller than the sum of its proper divisors (6165300528).

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

3043038672 is a wasteful number, since it uses less digits than its factorization.

3043038672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3043038672 is about 55163.7441803944. The cubic root of 3043038672 is about 1449.1137941143.

The spelling of 3043038672 in words is "three billion, forty-three million, thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 53 54 58 72 87 106 108 116 144 159 174 212 216 232 261 318 348 424 432 464 477 522 636 696 783 848 954 1044 1272 1392 1431 1537 1566 1908 2088 2544 2862 3074 3132 3816 4176 4583 4611 5724 6148 6264 7632 9166 9222 11448 12296 12528 13749 13833 18332 18444 22896 24592 27498 27666 36664 36888 41247 41499 54996 55332 73328 73776 82494 82998 109992 110664 123741 132907 164988 165996 219984 221328 242899 247482 265814 329976 331992 398721 485798 494964 531628 659952 663984 728697 797442 971596 989928 1063256 1196163 1457394 1594884 1943192 1979856 2126512 2186091 2392326 2914788 3189768 3588489 3886384 4372182 4784652 5829576 6379536 6558273 7044071 7176978 8744364 9569304 11659152 13116546 14088142 14353956 17488728 19138608 21132213 26233092 28176284 28707912 34977456 42264426 52466184 56352568 57415824 63396639 84528852 104932368 112705136 126793278 169057704 190189917 253586556 338115408 380379834 507173112 760759668 1014346224 1521519336 3043038672