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349466640 = 243567103211
BaseRepresentation
bin10100110101000…
…111000000010000
3220100120202002220
4110311013000100
51203430413030
654402141040
711442263115
oct2465070020
9810522086
10349466640
1116a2a0506
1299051780
135752a4c3
14345ac90c
1520a30a10
hex14d47010

349466640 has 160 divisors (see below), whose sum is σ = 1115452416. Its totient is φ = 90478080.

The previous prime is 349466581. The next prime is 349466647. The reversal of 349466640 is 46664943.

It is a junction number, because it is equal to n+sod(n) for n = 349466592 and 349466601.

It is not an unprimeable number, because it can be changed into a prime (349466647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1656135 + ... + 1656345.

Almost surely, 2349466640 is an apocalyptic number.

349466640 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 349466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557726208).

349466640 is an abundant number, since it is smaller than the sum of its proper divisors (765985776).

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

349466640 is a wasteful number, since it uses less digits than its factorization.

349466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 349466640 is about 18694.0268535166. The cubic root of 349466640 is about 704.3717152855.

The spelling of 349466640 in words is "three hundred forty-nine million, four hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 103 120 134 201 206 211 240 268 309 335 402 412 422 515 536 618 633 670 804 824 844 1005 1030 1055 1072 1236 1266 1340 1545 1608 1648 1688 2010 2060 2110 2472 2532 2680 3090 3165 3216 3376 4020 4120 4220 4944 5064 5360 6180 6330 6901 8040 8240 8440 10128 12360 12660 13802 14137 16080 16880 20703 21733 24720 25320 27604 28274 34505 41406 42411 43466 50640 55208 56548 65199 69010 70685 82812 84822 86932 103515 108665 110416 113096 130398 138020 141370 165624 169644 173864 207030 212055 217330 226192 260796 276040 282740 325995 331248 339288 347728 414060 424110 434660 521592 552080 565480 651990 678576 828120 848220 869320 1043184 1130960 1303980 1456111 1656240 1696440 1738640 2607960 2912222 3392880 4368333 5215920 5824444 7280555 8736666 11648888 14561110 17473332 21841665 23297776 29122220 34946664 43683330 58244440 69893328 87366660 116488880 174733320 349466640