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340471296 = 2933112239
BaseRepresentation
bin10100010010110…
…010111000000000
3212201122201211000
4110102302320000
51144130040141
653441252000
711302646454
oct2422627000
9781581730
10340471296
11165207140
1296034000
13556cb009
143330a664
151ed555b6
hex144b2e00

340471296 has 160 divisors (see below), whose sum is σ = 1099929600. Its totient is φ = 103127040.

The previous prime is 340471283. The next prime is 340471301. The reversal of 340471296 is 692174043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 340471296.

It is a congruent number.

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, 150945 + ... + 153183.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2340471296 is an apocalyptic number.

340471296 is a gapful number since it is divisible by the number (36) 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 340471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549964800).

340471296 is an abundant number, since it is smaller than the sum of its proper divisors (759458304).

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

340471296 is a wasteful number, since it uses less digits than its factorization.

340471296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 340471296 is about 18451.8642960542. The cubic root of 340471296 is about 698.2755484958.

The spelling of 340471296 in words is "three hundred forty million, four hundred seventy-one thousand, two hundred ninety-six".

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 2239 2304 2376 2816 3168 3456 4224 4478 4608 4752 5632 6336 6717 6912 8448 8956 9504 12672 13434 13824 16896 17912 19008 20151 24629 25344 26868 35824 38016 40302 49258 50688 53736 60453 71648 73887 76032 80604 98516 107472 120906 143296 147774 152064 161208 197032 214944 221661 241812 286592 295548 322416 394064 429888 443322 483624 573184 591096 644832 664983 788128 859776 886644 967248 1146368 1182192 1289664 1329966 1576256 1719552 1773288 1934496 2364384 2579328 2659932 3152512 3439104 3546576 3868992 4728768 5158656 5319864 6305024 7093152 7737984 9457536 10317312 10639728 12610048 14186304 15475968 18915072 21279456 28372608 30951936 37830144 42558912 56745216 85117824 113490432 170235648 340471296