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2342072088 = 2332198320627
BaseRepresentation
bin1000101110011001…
…0010111100011000
320001020000120220200
42023212102330120
514244032301323
61024222422200
7112016166336
oct21346227430
96036016820
102342072088
11aa2047474
12554431960
132b42b5b95
141830a0b56
15da932443
hex8b992f18

2342072088 has 96 divisors (see below), whose sum is σ = 6757732800. Its totient is φ = 730655424.

The previous prime is 2342072063. The next prime is 2342072111. The reversal of 2342072088 is 8802702432.

2342072088 is a `hidden beast` number, since 23 + 420 + 7 + 208 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103231 + ... + 123857.

It is an arithmetic number, because the mean of its divisors is an integer number (70393050).

Almost surely, 22342072088 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 2342072088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378866400).

2342072088 is an abundant number, since it is smaller than the sum of its proper divisors (4415660712).

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

2342072088 is a wasteful number, since it uses less digits than its factorization.

2342072088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20741 (or 20734 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2342072088 is about 48394.9593242933. The cubic root of 2342072088 is about 1328.0061495699.

The spelling of 2342072088 in words is "two billion, three hundred forty-two million, seventy-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 83 114 152 166 171 228 249 332 342 456 498 664 684 747 996 1368 1494 1577 1992 2988 3154 4731 5976 6308 9462 12616 14193 18924 20627 28386 37848 41254 56772 61881 82508 113544 123762 165016 185643 247524 371286 391913 495048 742572 783826 1175739 1485144 1567652 1712041 2351478 3135304 3424082 3527217 4702956 5136123 6848164 7054434 9405912 10272246 13696328 14108868 15408369 20544492 28217736 30816738 32528779 41088984 61633476 65057558 97586337 123266952 130115116 195172674 260230232 292759011 390345348 585518022 780690696 1171036044 2342072088