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349740890640 = 24335237039873
BaseRepresentation
bin1010001011011100010…
…11100111101000010000
31020102202001012002011000
411011232023213220100
521212232132000030
6424400241022000
734160622343251
oct5055613475020
91212661162130
10349740890640
11125362684689
1257947624900
1326c98cb988b
1412cdb2a4b28
15916e420860
hex516e2e7a10

349740890640 has 160 divisors (see below), whose sum is σ = 1257039901440. Its totient is φ = 89209257984.

The previous prime is 349740890633. The next prime is 349740890651. The reversal of 349740890640 is 46098047943.

It is a happy number.

349740890640 is a `hidden beast` number, since 3 + 4 + 97 + 408 + 90 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3470257 + ... + 3569616.

It is an arithmetic number, because the mean of its divisors is an integer number (7856499384).

Almost surely, 2349740890640 is an apocalyptic number.

349740890640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349740890640 is an abundant number, since it is smaller than the sum of its proper divisors (907299010800).

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

349740890640 is a wasteful number, since it uses less digits than its factorization.

349740890640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7039918 (or 7039906 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 349740890640 in words is "three hundred forty-nine billion, seven hundred forty million, eight hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 49680 7039873 14079746 21119619 28159492 35199365 42239238 56318984 63358857 70398730 84478476 105598095 112637968 126717714 140797460 161917079 168956952 190076571 211196190 253435428 281594920 316794285 323834158 337913904 380153142 422392380 485751237 506870856 563189840 633588570 647668316 760306284 809585395 844784760 950382855 971502474 1013741712 1267177140 1295336632 1457253711 1520612568 1619170790 1689569520 1900765710 1943004948 2428756185 2534354280 2590673264 2914507422 3041225136 3238341580 3801531420 3886009896 4371761133 4857512370 5068708560 5829014844 6476683160 7286268555 7603062840 7772019792 8743522266 9715024740 11658029688 12953366320 14572537110 15206125680 17487044532 19430049480 21858805665 23316059376 29145074220 34974089064 38860098960 43717611330 58290148440 69948178128 87435222660 116580296880 174870445320 349740890640