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385817088 = 2932367163
BaseRepresentation
bin10110111111110…
…001101000000000
3222212222112112210
4112333301220000
51242232121323
6102141222120
712363251106
oct2677615000
9885875483
10385817088
111888690a8
12a9261940
1361c16b47
1439351c76
1523d11293
hex16ff1a00

385817088 has 160 divisors (see below), whose sum is σ = 1095215616. Its totient is φ = 120434688.

The previous prime is 385817017. The next prime is 385817123. The reversal of 385817088 is 880718583.

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 15 ways as a sum of consecutive naturals, for example, 2366895 + ... + 2367057.

Almost surely, 2385817088 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 385817088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547607808).

385817088 is an abundant number, since it is smaller than the sum of its proper divisors (709398528).

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

385817088 is a wasteful number, since it uses less digits than its factorization.

385817088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The square root of 385817088 is about 19642.2271649627. The cubic root of 385817088 is about 727.9929154405.

The spelling of 385817088 in words is "three hundred eighty-five million, eight hundred seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 67 69 92 96 128 134 138 163 184 192 201 256 268 276 326 368 384 402 489 512 536 552 652 736 768 804 978 1072 1104 1304 1472 1536 1541 1608 1956 2144 2208 2608 2944 3082 3216 3749 3912 4288 4416 4623 5216 5888 6164 6432 7498 7824 8576 8832 9246 10432 10921 11247 11776 12328 12864 14996 15648 17152 17664 18492 20864 21842 22494 24656 25728 29992 31296 32763 34304 35328 36984 41728 43684 44988 49312 51456 59984 62592 65526 73968 83456 87368 89976 98624 102912 119968 125184 131052 147936 174736 179952 197248 239936 250368 251183 262104 295872 349472 359904 394496 479872 502366 524208 591744 698944 719808 753549 788992 959744 1004732 1048416 1183488 1397888 1439616 1507098 1919488 2009464 2096832 2366976 2795776 2879232 3014196 4018928 4193664 5591552 5758464 6028392 8037856 8387328 12056784 16075712 16774656 24113568 32151424 48227136 64302848 96454272 128605696 192908544 385817088