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3368333920 = 255728310627
BaseRepresentation
bin1100100011000100…
…1011001001100000
322200202010002111011
43020301023021200
523344243141140
61314123030304
7146320236340
oct31061131140
98622102434
103368333920
111479378146
127a006b394
13418ab96c3
1423d4c6d20
1514aa9ecea
hexc8c4b260

3368333920 has 96 divisors (see below), whose sum is σ = 9127496448. Its totient is φ = 1150668288.

The previous prime is 3368333911. The next prime is 3368333939. The reversal of 3368333920 is 293338633.

It is a happy number.

It is a super-2 number, since 2×33683339202 = 22691346793245132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311647 + ... + 322273.

It is an arithmetic number, because the mean of its divisors is an integer number (95078088).

Almost surely, 23368333920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3368333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563748224).

3368333920 is an abundant number, since it is smaller than the sum of its proper divisors (5759162528).

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

3368333920 is a wasteful number, since it uses less digits than its factorization.

3368333920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10932 (or 10924 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 40.

The square root of 3368333920 is about 58037.3493536705. The cubic root of 3368333920 is about 1499.0117816853.

The spelling of 3368333920 in words is "three billion, three hundred sixty-eight million, three hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 283 560 566 1120 1132 1415 1981 2264 2830 3962 4528 5660 7924 9056 9905 10627 11320 15848 19810 21254 22640 31696 39620 42508 45280 53135 63392 74389 79240 85016 106270 148778 158480 170032 212540 297556 316960 340064 371945 425080 595112 743890 850160 1190224 1487780 1700320 2380448 2975560 3007441 5951120 6014882 11902240 12029764 15037205 21052087 24059528 30074410 42104174 48119056 60148820 84208348 96238112 105260435 120297640 168416696 210520870 240595280 336833392 421041740 481190560 673666784 842083480 1684166960 3368333920