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2342115120 = 243524140493
BaseRepresentation
bin1000101110011001…
…1101011100110000
320001020002202221110
42023212131130300
514244040140440
61024223353320
7112016435652
oct21346353460
96036082843
102342115120
11aa2076834
12554452840
132b42cc647
141830b26d2
15da940080
hex8b99d730

2342115120 has 80 divisors (see below), whose sum is σ = 7290863712. Its totient is φ = 621957120.

The previous prime is 2342115107. The next prime is 2342115157. The reversal of 2342115120 is 215112432.

2342115120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23421151202 = 10971006470665228800, which contains 22 as substring.

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, 37594 + ... + 78086.

Almost surely, 22342115120 is an apocalyptic number.

2342115120 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 2342115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645431856).

2342115120 is an abundant number, since it is smaller than the sum of its proper divisors (4948748592).

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

2342115120 is a wasteful number, since it uses less digits than its factorization.

2342115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40750 (or 40744 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2342115120 is about 48395.4039140082. The cubic root of 2342115120 is about 1328.0142828821.

Adding to 2342115120 its reverse (215112432), we get a palindrome (2557227552).

The spelling of 2342115120 in words is "two billion, three hundred forty-two million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 482 723 964 1205 1446 1928 2410 2892 3615 3856 4820 5784 7230 9640 11568 14460 19280 28920 40493 57840 80986 121479 161972 202465 242958 323944 404930 485916 607395 647888 809860 971832 1214790 1619720 1943664 2429580 3239440 4859160 9718320 9758813 19517626 29276439 39035252 48794065 58552878 78070504 97588130 117105756 146382195 156141008 195176260 234211512 292764390 390352520 468423024 585528780 780705040 1171057560 2342115120