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3498226920 = 233354768917
BaseRepresentation
bin1101000010000010…
…1011010011101000
3100000210112100012000
43100200223103220
524131021230140
61335043051000
7152455303206
oct32040532350
910023470160
103498226920
111535726731
12817670a60
13439998576
1425285a076
151571aba30
hexd082b4e8

3498226920 has 128 divisors (see below), whose sum is σ = 11909030400. Its totient is φ = 912999168.

The previous prime is 3498226891. The next prime is 3498226931. The reversal of 3498226920 is 296228943.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16302 + ... + 85218.

It is an arithmetic number, because the mean of its divisors is an integer number (93039300).

Almost surely, 23498226920 is an apocalyptic number.

3498226920 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 3498226920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954515200).

3498226920 is an abundant number, since it is smaller than the sum of its proper divisors (8410803480).

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

3498226920 is a wasteful number, since it uses less digits than its factorization.

3498226920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68984 (or 68974 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3498226920 is about 59145.8106715936. The cubic root of 3498226920 is about 1518.0380561941.

The spelling of 3498226920 in words is "three billion, four hundred ninety-eight million, two hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 270 282 360 376 423 470 540 564 705 846 940 1080 1128 1269 1410 1692 1880 2115 2538 2820 3384 4230 5076 5640 6345 8460 10152 12690 16920 25380 50760 68917 137834 206751 275668 344585 413502 551336 620253 689170 827004 1033755 1240506 1378340 1654008 1860759 2067510 2481012 2756680 3101265 3239099 3721518 4135020 4962024 6202530 6478198 7443036 8270040 9303795 9717297 12405060 12956396 14886072 16195495 18607590 19434594 24810120 25912792 29151891 32390990 37215180 38869188 48586485 58303782 64781980 74430360 77738376 87455673 97172970 116607564 129563960 145759455 174911346 194345940 233215128 291518910 349822692 388691880 437278365 583037820 699645384 874556730 1166075640 1749113460 3498226920