Search a number
-
+
3004850688 = 2937535273
BaseRepresentation
bin1011001100011010…
…0110001000000000
321202102011020020020
42303012212020000
522123220210223
61214100213440
7134314544430
oct26306461000
97672136206
103004850688
111302183884
126ba39a280
1338b6c2378
1420710a2c0
15128c011e3
hexb31a6200

3004850688 has 160 divisors (see below), whose sum is σ = 9323081856. Its totient is φ = 842170368.

The previous prime is 3004850591. The next prime is 3004850699. The reversal of 3004850688 is 8860584003.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567220 + ... + 572492.

Almost surely, 23004850688 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 3004850688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661540928).

3004850688 is an abundant number, since it is smaller than the sum of its proper divisors (6318231168).

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

3004850688 is an equidigital number, since it uses as much as digits as its factorization.

3004850688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 3004850688 is about 54816.5183863404. The cubic root of 3004850688 is about 1443.0264742539.

The spelling of 3004850688 in words is "three billion, four million, eight hundred fifty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 256 318 336 371 384 424 448 512 636 672 742 768 848 896 1113 1272 1344 1484 1536 1696 1792 2226 2544 2688 2968 3392 3584 4452 5088 5273 5376 5936 6784 8904 10176 10546 10752 11872 13568 15819 17808 20352 21092 23744 27136 31638 35616 36911 40704 42184 47488 63276 71232 73822 81408 84368 94976 110733 126552 142464 147644 168736 189952 221466 253104 279469 284928 295288 337472 442932 506208 558938 569856 590576 674944 838407 885864 1012416 1117876 1181152 1349888 1676814 1771728 1956283 2024832 2235752 2362304 2699776 3353628 3543456 3912566 4049664 4471504 4724608 5868849 6707256 7086912 7825132 8099328 8943008 9449216 11737698 13414512 14173824 15650264 17886016 18898432 23475396 26829024 28347648 31300528 35772032 46950792 53658048 56695296 62601056 71544064 93901584 107316096 125202112 143088128 187803168 214632192 250404224 375606336 429264384 500808448 751212672 1001616896 1502425344 3004850688