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2340000520 = 23511133131307
BaseRepresentation
bin1000101101111001…
…1001001100001000
320001002010100020221
42023132121030020
514243020004040
61024110155424
7111662450644
oct21336311410
96032110227
102340000520
11aa0962030
125537b2b74
132b3a3bcc0
14182ac1c24
15da67374a
hex8b799308

2340000520 has 128 divisors (see below), whose sum is σ = 6209965440. Its totient is φ = 782346240.

The previous prime is 2340000457. The next prime is 2340000521. The reversal of 2340000520 is 250000432.

It is a junction number, because it is equal to n+sod(n) for n = 2340000494 and 2340000503.

It is not an unprimeable number, because it can be changed into a prime (2340000521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1789707 + ... + 1791013.

It is an arithmetic number, because the mean of its divisors is an integer number (48515355).

Almost surely, 22340000520 is an apocalyptic number.

2340000520 is a gapful number since it is divisible by the number (20) 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 2340000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104982720).

2340000520 is an abundant number, since it is smaller than the sum of its proper divisors (3869964920).

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

2340000520 is a wasteful number, since it uses less digits than its factorization.

2340000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2340000520 is about 48373.5518646295. The cubic root of 2340000520 is about 1327.6144926036.

Adding to 2340000520 its reverse (250000432), we get a palindrome (2590000952).

It can be divided in two parts, 23 and 40000520, that multiplied together give a triangular number (920011960 = T42895).

The spelling of 2340000520 in words is "two billion, three hundred forty million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 313 440 520 572 626 715 1144 1252 1307 1430 1565 2504 2614 2860 3130 3443 4069 5228 5720 6260 6535 6886 8138 10456 12520 13070 13772 14377 16276 16991 17215 20345 26140 27544 28754 32552 33982 34430 40690 44759 52280 57508 67964 68860 71885 81380 84955 89518 115016 135928 137720 143770 162760 169910 179036 186901 223795 287540 339820 358072 373802 409091 447590 575080 679640 747604 818182 895180 934505 1495208 1636364 1790360 1869010 2045455 3272728 3738020 4090910 4500001 5318183 7476040 8181820 9000002 10636366 16363640 18000004 21272732 22500005 26590915 36000008 42545464 45000010 53181830 58500013 90000020 106363660 117000026 180000040 212727320 234000052 292500065 468000104 585000130 1170000260 2340000520