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2343214608 = 243723319781
BaseRepresentation
bin1000101110101010…
…1001111000010000
320001022011122011020
42023222221320100
514244330331413
61024303115440
7112031665320
oct21352517020
96038148136
102343214608
11aa27578a9
125548a2b80
132b45c5c27
141832bb280
15daaaac23
hex8baa9e10

2343214608 has 160 divisors (see below), whose sum is σ = 7452475392. Its totient is φ = 619660800.

The previous prime is 2343214603. The next prime is 2343214613. The reversal of 2343214608 is 8064123432.

It is an interprime number because it is at equal distance from previous prime (2343214603) and next prime (2343214613).

It is not an unprimeable number, because it can be changed into a prime (2343214603) 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, 234678 + ... + 244458.

Almost surely, 22343214608 is an apocalyptic number.

2343214608 is a gapful number since it is divisible by the number (28) 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 2343214608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726237696).

2343214608 is an abundant number, since it is smaller than the sum of its proper divisors (5109260784).

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

2343214608 is a wasteful number, since it uses less digits than its factorization.

2343214608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9853 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2343214608 is about 48406.7620069758. The cubic root of 2343214608 is about 1328.2220590829. Note that the first 3 decimals are identical.

The spelling of 2343214608 in words is "two billion, three hundred forty-three million, two hundred fourteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 42 46 48 56 62 69 84 92 93 112 124 138 161 168 184 186 217 248 276 322 336 368 372 434 483 496 552 644 651 713 744 868 966 1104 1288 1302 1426 1488 1736 1932 2139 2576 2604 2852 3472 3864 4278 4991 5208 5704 7728 8556 9781 9982 10416 11408 14973 17112 19562 19964 29343 29946 34224 39124 39928 58686 59892 68467 78248 79856 117372 119784 136934 156496 205401 224963 234744 239568 273868 303211 410802 449926 469488 547736 606422 674889 821604 899852 909633 1095472 1212844 1349778 1574741 1643208 1799704 1819266 2122477 2425688 2699556 3149482 3286416 3599408 3638532 4244954 4724223 4851376 5399112 6298964 6367431 6973853 7277064 8489908 9448446 10798224 12597928 12734862 13947706 14554128 16979816 18896892 20921559 25195856 25469724 27895412 33959632 37793784 41843118 48816971 50939448 55790824 75587568 83686236 97633942 101878896 111581648 146450913 167372472 195267884 292901826 334744944 390535768 585803652 781071536 1171607304 2343214608