Search a number
-
+
3013994304 = 26327173699
BaseRepresentation
bin1011001110100101…
…1110011101000000
321210001100202220200
42303221132131000
522133040304204
61215024205200
7134455346256
oct26351363500
97701322820
103013994304
111307359592
12701469800
133905741a9
1420840a5d6
1512990a539
hexb3a5e740

3013994304 has 84 divisors (see below), whose sum is σ = 8760866400. Its totient is φ = 990501120.

The previous prime is 3013994299. The next prime is 3013994309. The reversal of 3013994304 is 4034993103.

3013994304 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 an interprime number because it is at equal distance from previous prime (3013994299) and next prime (3013994309).

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 (3013994309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4047 + ... + 77745.

Almost surely, 23013994304 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 3013994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380433200).

3013994304 is an abundant number, since it is smaller than the sum of its proper divisors (5746872096).

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

3013994304 is a wasteful number, since it uses less digits than its factorization.

3013994304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73788 (or 73775 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3013994304 is about 54899.8570489942. The cubic root of 3013994304 is about 1444.4886788154.

The spelling of 3013994304 in words is "three billion, thirteen million, nine hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 4544 5112 6816 10224 13632 20448 40896 73699 147398 221097 294796 442194 589592 663291 884388 1179184 1326582 1768776 2358368 2653164 3537552 4716736 5232629 5306328 7075104 10465258 10612656 14150208 15697887 20930516 21225312 31395774 41861032 42450624 47093661 62791548 83722064 94187322 125583096 167444128 188374644 251166192 334888256 376749288 502332384 753498576 1004664768 1506997152 3013994304