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343677040 = 24572326683
BaseRepresentation
bin10100011111000…
…001100001110000
3212221200121021021
4110133001201300
51200440131130
654034105224
711342130610
oct2437014160
9787617237
10343677040
11166aa6713
129711b214
13562811c5
1433902a40
152028a37a
hex147c1870

343677040 has 80 divisors (see below), whose sum is σ = 952939008. Its totient is φ = 112704768.

The previous prime is 343677023. The next prime is 343677077. The reversal of 343677040 is 40776343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3436770402 = 236227815646323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 343676987 and 343677005.

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, 462 + ... + 26221.

Almost surely, 2343677040 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 343677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476469504).

343677040 is an abundant number, since it is smaller than the sum of its proper divisors (609261968).

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

343677040 is a wasteful number, since it uses less digits than its factorization.

343677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26726 (or 26720 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The square root of 343677040 is about 18538.5285284458. The cubic root of 343677040 is about 700.4602687232.

The spelling of 343677040 in words is "three hundred forty-three million, six hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12880 26683 53366 106732 133415 186781 213464 266830 373562 426928 533660 613709 747124 933905 1067320 1227418 1494248 1867810 2134640 2454836 2988496 3068545 3735620 4295963 4909672 6137090 7471240 8591926 9819344 12274180 14942480 17183852 21479815 24548360 34367704 42959630 49096720 68735408 85919260 171838520 343677040