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3049235712 = 28333711923
BaseRepresentation
bin1011010110111111…
…1010010100000000
321212111200020001000
42311233322110000
522221101020322
61222323412000
7135364035015
oct26557722400
97774606030
103049235712
111325239a16
12711224000
13397962ab3
1420cd8170c
1512ca6c3ac
hexb5bfa500

3049235712 has 144 divisors (see below), whose sum is σ = 9261609280. Its totient is φ = 988858368.

The previous prime is 3049235701. The next prime is 3049235713. The reversal of 3049235712 is 2175329403.

3049235712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×30492357122 = 18595676854672293888, which contains 22 as substring.

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 (3049235713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249783 + ... + 261705.

Almost surely, 23049235712 is an apocalyptic number.

3049235712 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 3049235712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630804640).

3049235712 is an abundant number, since it is smaller than the sum of its proper divisors (6212373568).

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

3049235712 is a wasteful number, since it uses less digits than its factorization.

3049235712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11985 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3049235712 is about 55219.8851139696. The cubic root of 3049235712 is about 1450.0968166824.

The spelling of 3049235712 in words is "three billion, forty-nine million, two hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 576 592 666 768 864 888 999 1152 1184 1332 1728 1776 1998 2304 2368 2664 3456 3552 3996 4736 5328 6912 7104 7992 9472 10656 11923 14208 15984 21312 23846 28416 31968 35769 42624 47692 63936 71538 85248 95384 107307 127872 143076 190768 214614 255744 286152 321921 381536 429228 441151 572304 643842 763072 858456 882302 1144608 1287684 1323453 1526144 1716912 1764604 2289216 2575368 2646906 3052288 3433824 3529208 3970359 4578432 5150736 5293812 6867648 7058416 7940718 9156864 10301472 10587624 11911077 13735296 14116832 15881436 20602944 21175248 23822154 27470592 28233664 31762872 41205888 42350496 47644308 56467328 63525744 82411776 84700992 95288616 112934656 127051488 169401984 190577232 254102976 338803968 381154464 508205952 762308928 1016411904 1524617856 3049235712