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3398993290 = 2572111374603
BaseRepresentation
bin1100101010011000…
…1000010110001010
322202212210202020101
43022212020112022
523430120241130
61321140120014
7150141652300
oct31246102612
98685722211
103398993290
111494708a70
127aa39600a
13422262844
142435c8270
1514d6091ca
hexca98858a

3398993290 has 96 divisors (see below), whose sum is σ = 7822453824. Its totient is φ = 1051464960.

The previous prime is 3398993287. The next prime is 3398993293. The reversal of 3398993290 is 923998933.

It is an interprime number because it is at equal distance from previous prime (3398993287) and next prime (3398993293).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (3398993293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736129 + ... + 740731.

It is an arithmetic number, because the mean of its divisors is an integer number (81483894).

Almost surely, 23398993290 is an apocalyptic number.

3398993290 is an abundant number, since it is smaller than the sum of its proper divisors (4423460534).

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

3398993290 is a wasteful number, since it uses less digits than its factorization.

3398993290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 55.

The square root of 3398993290 is about 58300.8858423266. The cubic root of 3398993290 is about 1503.5461713209.

The spelling of 3398993290 in words is "three billion, three hundred ninety-eight million, nine hundred ninety-three thousand, two hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 137 154 245 274 385 490 539 685 770 959 1078 1370 1507 1918 2695 3014 4603 4795 5390 6713 7535 9206 9590 10549 13426 15070 21098 23015 32221 33565 46030 50633 52745 64442 67130 73843 101266 105490 147686 161105 225547 253165 322210 354431 369215 451094 506330 630611 708862 738430 1127735 1261222 1772155 2255470 2481017 3153055 3544310 4414277 4962034 6306110 6936721 8828554 12405085 13873442 22071385 24810170 30899939 34683605 44142770 48557047 61799878 69367210 97114094 154499695 242785235 308999390 339899329 485570470 679798658 1699496645 3398993290