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3468731904 = 29331122811
BaseRepresentation
bin1100111011000000…
…1010011000000000
322221202000211122000
43032300022120000
524100443410104
61332110544000
7151646510001
oct31660123000
98852024560
103468731904
111520010690
12809808000
1343383c3b1
1424c97d1a8
151547d2639
hexcec0a600

3468731904 has 160 divisors (see below), whose sum is σ = 11201604480. Its totient is φ = 1051084800.

The previous prime is 3468731891. The next prime is 3468731923. The reversal of 3468731904 is 4091378643.

It is a self number, because there is not a number n which added to its sum of digits gives 3468731904.

It is a congruent number.

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, 140659 + ... + 163469.

It is an arithmetic number, because the mean of its divisors is an integer number (70010028).

Almost surely, 23468731904 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 3468731904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600802240).

3468731904 is an abundant number, since it is smaller than the sum of its proper divisors (7732872576).

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

3468731904 is a wasteful number, since it uses less digits than its factorization.

3468731904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22849 (or 22827 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3468731904 is about 58895.9413202642. The cubic root of 3468731904 is about 1513.7596042589.

The spelling of 3468731904 in words is "three billion, four hundred sixty-eight million, seven hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 22811 25344 38016 45622 50688 68433 76032 91244 136866 152064 182488 205299 250921 273732 364976 410598 501842 547464 615897 729952 752763 821196 1003684 1094928 1231794 1459904 1505526 1642392 2007368 2189856 2258289 2463588 2919808 3011052 3284784 4014736 4379712 4516578 4927176 5839616 6022104 6569568 6774867 8029472 8759424 9033156 9854352 11679232 12044208 13139136 13549734 16058944 17518848 18066312 19708704 24088416 26278272 27099468 32117888 35037696 36132624 39417408 48176832 52556544 54198936 64235776 72265248 78834816 96353664 105113088 108397872 128471552 144530496 157669632 192707328 216795744 289060992 315339264 385414656 433591488 578121984 867182976 1156243968 1734365952 3468731904