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3396993024 = 217353163
BaseRepresentation
bin1100101001111010…
…0000000000000000
322202202001010101110
43022132200000000
523424112234044
61321025203320
7150115651515
oct31236400000
98682033343
103396993024
111493572157
127a9790540
13421a12259
1424322730c
1514d3616b9
hexca7a0000

3396993024 has 144 divisors (see below), whose sum is σ = 9286153632. Its totient is φ = 1104150528.

The previous prime is 3396993013. The next prime is 3396993031. The reversal of 3396993024 is 4203996933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 20840367 + ... + 20840529.

It is an arithmetic number, because the mean of its divisors is an integer number (64487178).

Almost surely, 23396993024 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 3396993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643076816).

3396993024 is an abundant number, since it is smaller than the sum of its proper divisors (5889160608).

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

3396993024 is an frugal number, since it uses more digits than its factorization.

3396993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 48.

The square root of 3396993024 is about 58283.7286384459. The cubic root of 3396993024 is about 1503.2511739320.

The spelling of 3396993024 in words is "three billion, three hundred ninety-six million, nine hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 163 192 212 256 318 326 384 424 489 512 636 652 768 848 978 1024 1272 1304 1536 1696 1956 2048 2544 2608 3072 3392 3912 4096 5088 5216 6144 6784 7824 8192 8639 10176 10432 12288 13568 15648 16384 17278 20352 20864 24576 25917 27136 31296 32768 34556 40704 41728 49152 51834 54272 62592 65536 69112 81408 83456 98304 103668 108544 125184 131072 138224 162816 166912 196608 207336 217088 250368 276448 325632 333824 393216 414672 434176 500736 552896 651264 667648 829344 868352 1001472 1105792 1302528 1335296 1658688 1736704 2002944 2211584 2605056 2670592 3317376 3473408 4005888 4423168 5210112 5341184 6634752 6946816 8011776 8846336 10420224 10682368 13269504 16023552 17692672 20840448 21364736 26539008 32047104 35385344 53078016 64094208 70770688 106156032 141541376 212312064 283082752 424624128 566165504 849248256 1132331008 1698496512 3396993024