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1034350152 = 2331171139397
BaseRepresentation
bin111101101001101…
…110111001001000
32200002022102122220
4331221232321020
54104243201102
6250345414040
734426555053
oct7551567110
92602272586
101034350152
11490955640
1224a49a320
131363a6214
149b52da9a
1560c191bc
hex3da6ee48

1034350152 has 128 divisors (see below), whose sum is σ = 2888524800. Its totient is φ = 306028800.

The previous prime is 1034350127. The next prime is 1034350153. The reversal of 1034350152 is 2510534301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1034350153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2605218 + ... + 2605614.

It is an arithmetic number, because the mean of its divisors is an integer number (22566600).

Almost surely, 21034350152 is an apocalyptic number.

1034350152 is a gapful number since it is divisible by the number (12) 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 1034350152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444262400).

1034350152 is an abundant number, since it is smaller than the sum of its proper divisors (1854174648).

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

1034350152 is a wasteful number, since it uses less digits than its factorization.

1034350152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1034350152 is about 32161.3145253735. The cubic root of 1034350152 is about 1011.3213930241.

Adding to 1034350152 its reverse (2510534301), we get a palindrome (3544884453).

The spelling of 1034350152 in words is "one billion, thirty-four million, three hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 139 142 213 264 278 284 397 417 426 556 568 781 794 834 852 1112 1191 1529 1562 1588 1668 1704 2343 2382 3058 3124 3176 3336 4367 4587 4686 4764 6116 6248 8734 9174 9372 9528 9869 12232 13101 17468 18348 18744 19738 26202 28187 29607 34936 36696 39476 52404 55183 56374 59214 78952 84561 104808 108559 110366 112748 118428 165549 169122 217118 220732 225496 236856 310057 325677 331098 338244 434236 441464 607013 620114 651354 662196 676488 868472 930171 1214026 1240228 1302708 1324392 1821039 1860342 2428052 2480456 2605416 3642078 3720684 3917993 4856104 7284156 7441368 7835986 11753979 14568312 15671972 23507958 31343944 43097923 47015916 86195846 94031832 129293769 172391692 258587538 344783384 517175076 1034350152