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621272340 = 2232513733637
BaseRepresentation
bin100101000001111…
…101110100010100
31121022000220102200
4211001331310110
52233021203330
6141352004500
721252504423
oct4501756424
91538026380
10621272340
11299768117
12154090730
139b936190
145c7232ba
1539820a60
hex2507dd14

621272340 has 144 divisors (see below), whose sum is σ = 2057856528. Its totient is φ = 150792192.

The previous prime is 621272329. The next prime is 621272341. The reversal of 621272340 is 43272126.

621272340 is a `hidden beast` number, since 621 + 2 + 7 + 2 + 34 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 165791376 + 455480964 = 12876^2 + 21342^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621272341) 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, 169002 + ... + 172638.

Almost surely, 2621272340 is an apocalyptic number.

621272340 is a gapful number since it is divisible by the number (60) 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 621272340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028928264).

621272340 is an abundant number, since it is smaller than the sum of its proper divisors (1436584188).

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

621272340 is a wasteful number, since it uses less digits than its factorization.

621272340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 621272340 is about 24925.3353036624. The cubic root of 621272340 is about 853.2847937207.

The spelling of 621272340 in words is "six hundred twenty-one million, two hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 73 78 90 117 130 146 156 180 195 219 234 260 292 365 390 438 468 585 657 730 780 876 949 1095 1170 1314 1460 1898 2190 2340 2628 2847 3285 3637 3796 4380 4745 5694 6570 7274 8541 9490 10911 11388 13140 14235 14548 17082 18185 18980 21822 28470 32733 34164 36370 42705 43644 47281 54555 56940 65466 72740 85410 94562 109110 130932 141843 163665 170820 189124 218220 236405 265501 283686 327330 425529 472810 531002 567372 654660 709215 796503 851058 945620 1062004 1327505 1418430 1593006 1702116 2127645 2389509 2655010 2836860 3186012 3451513 3982515 4255290 4779018 5310020 6903026 7965030 8510580 9558036 10354539 11947545 13806052 15930060 17257565 20709078 23895090 31063617 34515130 41418156 47790180 51772695 62127234 69030260 103545390 124254468 155318085 207090780 310636170 621272340