Search a number
-
+
340803840 = 2835136827
BaseRepresentation
bin10100010100000…
…100000100000000
3212202021121222110
4110110010010000
51144221210330
653452335320
711305533126
oct2424040400
9782247873
10340803840
11165413a73
1296174540
13557b64a0
1433395916
151edbddb0
hex14504100

340803840 has 144 divisors (see below), whose sum is σ = 1172340288. Its totient is φ = 83877888.

The previous prime is 340803821. The next prime is 340803851. The reversal of 340803840 is 48308043.

It is a super-2 number, since 2×3408038402 = 232294514717491200, which contains 22 as substring.

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 = 340803798 and 340803807.

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, 46507 + ... + 53333.

It is an arithmetic number, because the mean of its divisors is an integer number (8141252).

Almost surely, 2340803840 is an apocalyptic number.

340803840 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 340803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586170144).

340803840 is an abundant number, since it is smaller than the sum of its proper divisors (831536448).

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

340803840 is a wasteful number, since it uses less digits than its factorization.

340803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 340803840 is about 18460.8732187836. The cubic root of 340803840 is about 698.5028136499.

The spelling of 340803840 in words is "three hundred forty million, eight hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 6827 8320 9984 12480 13654 16640 20481 24960 27308 34135 40962 49920 54616 68270 81924 88751 102405 109232 136540 163848 177502 204810 218464 266253 273080 327696 355004 409620 436928 443755 532506 546160 655392 710008 819240 873856 887510 1065012 1092320 1310784 1331265 1420016 1638480 1747712 1775020 2130024 2184640 2621568 2662530 2840032 3276960 3550040 4260048 4369280 5243136 5325060 5680064 6553920 7100080 8520096 8738560 10650120 11360128 13107840 14200160 17040192 21300240 22720256 26215680 28400320 34080384 42600480 56800640 68160768 85200960 113601280 170401920 340803840