Search a number
-
+
391090440 = 2335131714747
BaseRepresentation
bin10111010011111…
…001000100001000
31000020220110020010
4113103321010020
51300104343230
6102450231520
712456133236
oct2723710410
91006813203
10391090440
11190840044
12aab855a0
1363042180
1439d25956
15245039b0
hex174f9108

391090440 has 128 divisors (see below), whose sum is σ = 1337938560. Its totient is φ = 90599424.

The previous prime is 391090429. The next prime is 391090493. The reversal of 391090440 is 44090193.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 391090398 and 391090407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19147 + ... + 33893.

It is an arithmetic number, because the mean of its divisors is an integer number (10452645).

Almost surely, 2391090440 is an apocalyptic number.

391090440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 391090440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668969280).

391090440 is an abundant number, since it is smaller than the sum of its proper divisors (946848120).

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

391090440 is a wasteful number, since it uses less digits than its factorization.

391090440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14791 (or 14787 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 391090440 is about 19776.0066747562. The cubic root of 391090440 is about 731.2946563422.

The spelling of 391090440 in words is "three hundred ninety-one million, ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 5304 6630 8840 13260 14747 26520 29494 44241 58988 73735 88482 117976 147470 176964 191711 221205 250699 294940 353928 383422 442410 501398 575133 589880 752097 766844 884820 958555 1002796 1150266 1253495 1504194 1533688 1769640 1917110 2005592 2300532 2506990 2875665 3008388 3259087 3760485 3834220 4601064 5013980 5751330 6016776 6518174 7520970 7668440 9777261 10027960 11502660 13036348 15041940 16295435 19554522 23005320 26072696 30083880 32590870 39109044 48886305 65181740 78218088 97772610 130363480 195545220 391090440