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1042120344 = 233531276451
BaseRepresentation
bin111110000111010…
…111111010011000
32200121221012100210
4332013113322120
54113240322334
6251224131120
734552606506
oct7607277230
92617835323
101042120344
11495282491
12251006aa0
13137b96b75
149c593676
15617515e9
hex3e1d7e98

1042120344 has 64 divisors (see below), whose sum is σ = 2675773440. Its totient is φ = 338083200.

The previous prime is 1042120337. The next prime is 1042120369. The reversal of 1042120344 is 4430212401.

It is a super-3 number, since 3×10421203443 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1042120344.

It is a congruent number.

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, 158319 + ... + 164769.

It is an arithmetic number, because the mean of its divisors is an integer number (41808960).

Almost surely, 21042120344 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 1042120344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337886720).

1042120344 is an abundant number, since it is smaller than the sum of its proper divisors (1633653096).

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

1042120344 is a wasteful number, since it uses less digits than its factorization.

1042120344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6640 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1042120344 is about 32281.8887923244. Note that the first 3 decimals coincide. The cubic root of 1042120344 is about 1013.8474769521.

Adding to 1042120344 its reverse (4430212401), we get a palindrome (5472332745).

The spelling of 1042120344 in words is "one billion, forty-two million, one hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 127 159 212 254 318 381 424 508 636 762 1016 1272 1524 3048 6451 6731 12902 13462 19353 20193 25804 26924 38706 40386 51608 53848 77412 80772 154824 161544 341903 683806 819277 1025709 1367612 1638554 2051418 2457831 2735224 3277108 4102836 4915662 6554216 8205672 9831324 19662648 43421681 86843362 130265043 173686724 260530086 347373448 521060172 1042120344