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245200034340 = 223254373433967
BaseRepresentation
bin1110010001011100001…
…1111001101000100100
3212102220102010100002100
43210113003321220210
513004132202044330
6304350543412100
723500166621532
oct3442703715044
9772812110070
10245200034340
1194a97032a88
123b630bb4030
131a1787ca121
14bc21141152
1565a1727060
hex39170f9a24

245200034340 has 144 divisors (see below), whose sum is σ = 771497895168. Its totient is φ = 62991032832.

The previous prime is 245200034309. The next prime is 245200034353. The reversal of 245200034340 is 43430002542.

245200034340 is a `hidden beast` number, since 24 + 5 + 200 + 0 + 3 + 434 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348037 + ... + 782003.

It is an arithmetic number, because the mean of its divisors is an integer number (5357624272).

Almost surely, 2245200034340 is an apocalyptic number.

245200034340 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 245200034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385748947584).

245200034340 is an abundant number, since it is smaller than the sum of its proper divisors (526297860828).

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

245200034340 is a wasteful number, since it uses less digits than its factorization.

245200034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434098 (or 434093 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 245200034340 its reverse (43430002542), we get a palindrome (288630036882).

The spelling of 245200034340 in words is "two hundred forty-five billion, two hundred million, thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 73 86 90 129 146 172 180 215 219 258 292 365 387 430 438 516 645 657 730 774 860 876 1095 1290 1314 1460 1548 1935 2190 2580 2628 3139 3285 3870 4380 6278 6570 7740 9417 12556 13140 15695 18834 28251 31390 37668 47085 56502 62780 94170 113004 141255 188340 282510 433967 565020 867934 1301901 1735868 2169835 2603802 3905703 4339670 5207604 6509505 7811406 8679340 13019010 15622812 18660581 19528515 26038020 31679591 37321162 39057030 55981743 63359182 74642324 78114060 93302905 95038773 111963486 126718364 158397955 167945229 186605810 190077546 223926972 279908715 285116319 316795910 335890458 373211620 380155092 475193865 559817430 570232638 633591820 671780916 839726145 950387730 1119634860 1140465276 1362222413 1425581595 1679452290 1900775460 2724444826 2851163190 3358904580 4086667239 5448889652 5702326380 6811112065 8173334478 12260001717 13622224130 16346668956 20433336195 24520003434 27244448260 40866672390 49040006868 61300008585 81733344780 122600017170 245200034340