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2434605240 = 23351071271493
BaseRepresentation
bin1001000100011101…
…0010000010111000
320021200010202112110
42101013102002320
514441224331430
61041330012320
7114221542314
oct22107220270
96250122473
102434605240
11103a2a8a51
1257b4170a0
132ca513b22
141914aab44
15e3b0e7b0
hex911d20b8

2434605240 has 128 divisors (see below), whose sum is σ = 7435100160. Its totient is φ = 637668864.

The previous prime is 2434605233. The next prime is 2434605259. The reversal of 2434605240 is 425064342.

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 = 2434605198 and 2434605207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1629934 + ... + 1631426.

It is an arithmetic number, because the mean of its divisors is an integer number (58086720).

Almost surely, 22434605240 is an apocalyptic number.

2434605240 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 2434605240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717550080).

2434605240 is an abundant number, since it is smaller than the sum of its proper divisors (5000494920).

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

2434605240 is a wasteful number, since it uses less digits than its factorization.

2434605240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2434605240 is about 49341.7190620675. The cubic root of 2434605240 is about 1345.2701861358.

Adding to 2434605240 its reverse (425064342), we get a palindrome (2859669582).

The spelling of 2434605240 in words is "two billion, four hundred thirty-four million, six hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 127 214 254 321 381 428 508 535 635 642 762 856 1016 1070 1270 1284 1493 1524 1605 1905 2140 2540 2568 2986 3048 3210 3810 4280 4479 5080 5972 6420 7465 7620 8958 11944 12840 13589 14930 15240 17916 22395 27178 29860 35832 40767 44790 54356 59720 67945 81534 89580 108712 135890 159751 163068 179160 189611 203835 271780 319502 326136 379222 407670 479253 543560 568833 639004 758444 798755 815340 948055 958506 1137666 1278008 1516888 1597510 1630680 1896110 1917012 2275332 2396265 2844165 3195020 3792220 3834024 4550664 4792530 5688330 6390040 7584440 9585060 11376660 19170120 20288377 22753320 40576754 60865131 81153508 101441885 121730262 162307016 202883770 243460524 304325655 405767540 486921048 608651310 811535080 1217302620 2434605240