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2342005272 = 233317738737
BaseRepresentation
bin1000101110011000…
…0010101000011000
320001012220012021000
42023212002220120
514244023132042
61024221145000
7112015500465
oct21346025030
96035805230
102342005272
11aa2001252
125543bb160
132b4291649
1418308466c
15da91c74c
hex8b982a18

2342005272 has 128 divisors (see below), whose sum is σ = 6983409600. Its totient is φ = 724598784.

The previous prime is 2342005247. The next prime is 2342005279. The reversal of 2342005272 is 2725002432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342005279) 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, 263688 + ... + 272424.

Almost surely, 22342005272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342005272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491704800).

2342005272 is an abundant number, since it is smaller than the sum of its proper divisors (4641404328).

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

2342005272 is a wasteful number, since it uses less digits than its factorization.

2342005272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8842 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2342005272 is about 48394.2689995417. The cubic root of 2342005272 is about 1327.9935207382.

The spelling of 2342005272 in words is "two billion, three hundred forty-two million, five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 73 102 108 136 146 153 204 216 219 292 306 408 438 459 584 612 657 876 918 1224 1241 1314 1752 1836 1971 2482 2628 3672 3723 3942 4964 5256 7446 7884 8737 9928 11169 14892 15768 17474 22338 26211 29784 33507 34948 44676 52422 67014 69896 78633 89352 104844 134028 148529 157266 209688 235899 268056 297058 314532 445587 471798 594116 629064 637801 891174 943596 1188232 1275602 1336761 1782348 1887192 1913403 2551204 2673522 3564696 3826806 4010283 5102408 5347044 5740209 7653612 8020566 10694088 10842617 11480418 15307224 16041132 17220627 21685234 22960836 32082264 32527851 34441254 43370468 45921672 65055702 68882508 86740936 97583553 130111404 137765016 195167106 260222808 292750659 390334212 585501318 780668424 1171002636 2342005272