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620220348 = 2233112311531
BaseRepresentation
bin100100111101111…
…100111110111100
31121020001110101000
4210331330332330
52232234022343
6141313250300
721240533406
oct4475747674
91536043330
10620220348
11299109800
12153863990
139b6583b7
145c52bb76
15396b3ed3
hex24f7cfbc

620220348 has 144 divisors (see below), whose sum is σ = 1825653760. Its totient is φ = 181764000.

The previous prime is 620220343. The next prime is 620220373. The reversal of 620220348 is 843022026.

620220348 is a `hidden beast` number, since 620 + 2 + 2 + 0 + 34 + 8 = 666.

It is a super-2 number, since 2×6202203482 = 769346560146482208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620220343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404343 + ... + 405873.

Almost surely, 2620220348 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 620220348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912826880).

620220348 is an abundant number, since it is smaller than the sum of its proper divisors (1205433412).

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

620220348 is a wasteful number, since it uses less digits than its factorization.

620220348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 620220348 is about 24904.2234972303. The cubic root of 620220348 is about 852.8029031150.

The spelling of 620220348 in words is "six hundred twenty million, two hundred twenty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 121 124 132 186 198 242 279 297 341 363 372 396 484 558 594 682 726 837 1023 1089 1116 1188 1364 1452 1531 1674 2046 2178 3062 3069 3267 3348 3751 4092 4356 4593 6124 6138 6534 7502 9186 9207 11253 12276 13068 13779 15004 16841 18372 18414 22506 27558 33682 33759 36828 41337 45012 47461 50523 55116 67364 67518 82674 94922 101046 101277 135036 142383 151569 165348 185251 189844 202092 202554 284766 303138 370502 405108 427149 454707 522071 555753 569532 606276 741004 854298 909414 1044142 1111506 1281447 1566213 1667259 1708596 1818828 2088284 2223012 2562894 3132426 3334518 4698639 5001777 5125788 5742781 6264852 6669036 9397278 10003554 11485562 14095917 17228343 18794556 20007108 22971124 28191834 34456686 51685029 56383668 68913372 103370058 155055087 206740116 310110174 620220348