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3420554340 = 2235719741341
BaseRepresentation
bin1100101111100001…
…1000010001100100
322211101101011102210
43023320120101210
524001130214330
61323230203420
7150523142430
oct31370302144
98741334383
103420554340
1114a58a5115
127b5653570
13426871668
142463db9c0
151504678b0
hexcbe18464

3420554340 has 96 divisors (see below), whose sum is σ = 11001602304. Its totient is φ = 777853440.

The previous prime is 3420554329. The next prime is 3420554369. The reversal of 3420554340 is 434550243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3420554298 and 3420554307.

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, 62070 + ... + 103410.

It is an arithmetic number, because the mean of its divisors is an integer number (114600024).

Almost surely, 23420554340 is an apocalyptic number.

3420554340 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 3420554340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500801152).

3420554340 is an abundant number, since it is smaller than the sum of its proper divisors (7581047964).

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

3420554340 is a wasteful number, since it uses less digits than its factorization.

3420554340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41557 (or 41555 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3420554340 is about 58485.5053838128. The cubic root of 3420554340 is about 1506.7186526515.

The spelling of 3420554340 in words is "three billion, four hundred twenty million, five hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 197 210 394 420 591 788 985 1182 1379 1970 2364 2758 2955 3940 4137 5516 5910 6895 8274 11820 13790 16548 20685 27580 41341 41370 82682 82740 124023 165364 206705 248046 289387 413410 496092 578774 620115 826820 868161 1157548 1240230 1446935 1736322 2480460 2893870 3472644 4340805 5787740 8144177 8681610 16288354 17363220 24432531 32576708 40720885 48865062 57009239 81441770 97730124 114018478 122162655 162883540 171027717 228036956 244325310 285046195 342055434 488650620 570092390 684110868 855138585 1140184780 1710277170 3420554340