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3120434304 = 27313625087
BaseRepresentation
bin1011100111111110…
…0000110010000000
322001110122111010220
42321333200302000
522342312344204
61233345423040
7140220153051
oct27177406200
98043574126
103120434304
111361449529
1273103aa80
133a9631040
142185d6728
15133e331d9
hexb9fe0c80

3120434304 has 64 divisors (see below), whose sum is σ = 8926256640. Its totient is φ = 960132096.

The previous prime is 3120434299. The next prime is 3120434329. The reversal of 3120434304 is 4034340213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×31204343042 = 19474220491159928832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307552 + ... + 317535.

It is an arithmetic number, because the mean of its divisors is an integer number (139472760).

Almost surely, 23120434304 is an apocalyptic number.

It is an amenable number.

3120434304 is an abundant number, since it is smaller than the sum of its proper divisors (5805822336).

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

3120434304 is a wasteful number, since it uses less digits than its factorization.

3120434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625117 (or 625105 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3120434304 is about 55860.8476842233. The cubic root of 3120434304 is about 1461.2965126792.

Adding to 3120434304 its reverse (4034340213), we get a palindrome (7154774517).

The spelling of 3120434304 in words is "three billion, one hundred twenty million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 625087 1250174 1875261 2500348 3750522 5000696 7501044 8126131 10001392 15002088 16252262 20002784 24378393 30004176 32504524 40005568 48756786 60008352 65009048 80011136 97513572 120016704 130018096 195027144 240033408 260036192 390054288 520072384 780108576 1040144768 1560217152 3120434304