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625370340 = 223572347613
BaseRepresentation
bin100101010001100…
…110010011100100
31121120202002211110
4211101212103210
52240043322330
6142015505020
721332363100
oct4521462344
91546662743
10625370340
112a1006aa1
12155528170
139c73c52a
145d0ac900
1539d7edb0
hex254664e4

625370340 has 144 divisors (see below), whose sum is σ = 2046123072. Its totient is φ = 142297344.

The previous prime is 625370329. The next prime is 625370401. The reversal of 625370340 is 43073526.

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 = 625370298 and 625370307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019874 + ... + 1020486.

It is an arithmetic number, because the mean of its divisors is an integer number (14209188).

Almost surely, 2625370340 is an apocalyptic number.

625370340 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 625370340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023061536).

625370340 is an abundant number, since it is smaller than the sum of its proper divisors (1420752732).

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

625370340 is a wasteful number, since it uses less digits than its factorization.

625370340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 625370340 is about 25007.4057031112. The cubic root of 625370340 is about 855.1568126591.

The spelling of 625370340 in words is "six hundred twenty-five million, three hundred seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 347 420 490 588 613 694 735 980 1041 1226 1388 1470 1735 1839 2082 2429 2452 2940 3065 3470 3678 4164 4291 4858 5205 6130 6940 7287 7356 8582 9195 9716 10410 12145 12260 12873 14574 17003 17164 18390 20820 21455 24290 25746 29148 30037 34006 36435 36780 42910 48580 51009 51492 60074 64365 68012 72870 85015 85820 90111 102018 120148 128730 145740 150185 170030 180222 204036 212711 255045 257460 300370 340060 360444 425422 450555 510090 600740 638133 850844 901110 1020180 1063555 1276266 1488977 1802220 2127110 2552532 2977954 3190665 4254220 4466931 5955908 6381330 7444885 8933862 10422839 12762660 14889770 17867724 20845678 22334655 29779540 31268517 41691356 44669310 52114195 62537034 89338620 104228390 125074068 156342585 208456780 312685170 625370340