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23534354240 = 265415930403
BaseRepresentation
bin10101111010110000…
…011011111101000000
32020202011001001210122
4111322300123331000
5341144243313430
614451142515412
71462126465445
oct257260337500
966664031718
1023534354240
119a87590741
124689735b68
1322b09b20c7
1411d38679cc
1592b1b1ee5
hex57ac1bf40

23534354240 has 112 divisors (see below), whose sum is σ = 58382976960. Its totient is φ = 9028177920.

The previous prime is 23534354203. The next prime is 23534354267. The reversal of 23534354240 is 4245343532.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23534354240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758879 + ... + 789281.

It is an arithmetic number, because the mean of its divisors is an integer number (521276580).

Almost surely, 223534354240 is an apocalyptic number.

23534354240 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 23534354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29191488480).

23534354240 is an abundant number, since it is smaller than the sum of its proper divisors (34848622720).

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

23534354240 is a wasteful number, since it uses less digits than its factorization.

23534354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30520 (or 30510 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 23534354240 its reverse (4245343532), we get a palindrome (27779697772).

The spelling of 23534354240 in words is "twenty-three billion, five hundred thirty-four million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 59 64 80 82 118 160 164 205 236 295 320 328 410 472 590 656 820 944 1180 1312 1640 1888 2360 2419 2624 3280 3776 4720 4838 6560 9440 9676 12095 13120 18880 19352 24190 30403 38704 48380 60806 77408 96760 121612 152015 154816 193520 243224 304030 387040 486448 608060 774080 972896 1216120 1246523 1793777 1945792 2432240 2493046 3587554 4864480 4986092 6232615 7175108 8968885 9728960 9972184 12465230 14350216 17937770 19944368 24930460 28700432 35875540 39888736 49860920 57400864 71751080 73544857 79777472 99721840 114801728 143502160 147089714 199443680 287004320 294179428 367724285 398887360 574008640 588358856 735448570 1176717712 1470897140 2353435424 2941794280 4706870848 5883588560 11767177120 23534354240