Search a number
-
+
3400322200020 = 223456367329663
BaseRepresentation
bin110001011110110010111…
…111110011000111010100
3110001001211022010002210000
4301132302333303013110
5421202324440400040
611122030401331300
7500444103545544
oct61366277630724
913031738102700
103400322200020
1110a1083265789
1246b009036b30
131b8858b3c935
14ba80dbab324
155d6b4584130
hex317b2ff31d4

3400322200020 has 120 divisors (see below), whose sum is σ = 10668644388864. Its totient is φ = 906607422144.

The previous prime is 3400322200003. The next prime is 3400322200021. The reversal of 3400322200020 is 200022230043.

3400322200020 is a `hidden beast` number, since 340 + 0 + 322 + 2 + 0 + 0 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3400322199966 and 3400322200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400322200021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10149709 + ... + 10479371.

Almost surely, 23400322200020 is an apocalyptic number.

3400322200020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3400322200020 is an abundant number, since it is smaller than the sum of its proper divisors (7268322188844).

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

3400322200020 is a wasteful number, since it uses less digits than its factorization.

3400322200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336051 (or 336040 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 3400322200020 its reverse (200022230043), we get a palindrome (3600344430063).

The spelling of 3400322200020 in words is "three trillion, four hundred billion, three hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6367 12734 19101 25468 31835 38202 57303 63670 76404 95505 114606 127340 171909 191010 229212 286515 329663 343818 382020 515727 573030 659326 687636 859545 988989 1031454 1146060 1318652 1648315 1719090 1977978 2062908 2578635 2966967 3296630 3438180 3955956 4944945 5157270 5933934 6593260 8900901 9889890 10314540 11867868 14834835 17801802 19779780 26702703 29669670 35603604 44504505 53405406 59339340 89009010 106810812 133513515 178018020 267027030 534054060 2098964321 4197928642 6296892963 8395857284 10494821605 12593785926 18890678889 20989643210 25187571852 31484464815 37781357778 41979286420 56672036667 62968929630 75562715556 94453394445 113344073334 125937859260 170016110001 188906788890 226688146668 283360183335 340032220002 377813577780 566720366670 680064440004 850080550005 1133440733340 1700161100010 3400322200020