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2353352540 = 2257111980429
BaseRepresentation
bin1000110001000101…
…0100111101011100
320002000020200210012
42030101110331130
514304424240130
61025304302352
7112214111060
oct21421247534
96060220705
102353352540
11aa8451660
125581719b8
132b67354c6
14184799aa0
15db90e995
hex8c454f5c

2353352540 has 96 divisors (see below), whose sum is σ = 6485875200. Its totient is φ = 694897920.

The previous prime is 2353352539. The next prime is 2353352579. The reversal of 2353352540 is 452533532.

It is a junction number, because it is equal to n+sod(n) for n = 2353352497 and 2353352506.

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, 10955 + ... + 69474.

It is an arithmetic number, because the mean of its divisors is an integer number (67561200).

Almost surely, 22353352540 is an apocalyptic number.

2353352540 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 2353352540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242937600).

2353352540 is an abundant number, since it is smaller than the sum of its proper divisors (4132522660).

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

2353352540 is a wasteful number, since it uses less digits than its factorization.

2353352540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80475 (or 80473 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The square root of 2353352540 is about 48511.3650601588. The cubic root of 2353352540 is about 1330.1348234251.

The spelling of 2353352540 in words is "two billion, three hundred fifty-three million, three hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 14630 29260 80429 160858 321716 402145 563003 804290 884719 1126006 1528151 1608580 1769438 2252012 2815015 3056302 3538876 4423595 5630030 6112604 6193033 7640755 8847190 10697057 11260060 12386066 15281510 16809661 17694380 21394114 24772132 30563020 30965165 33619322 42788228 53485285 61930330 67238644 84048305 106970570 117667627 123860660 168096610 213941140 235335254 336193220 470670508 588338135 1176676270 2353352540