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1038422430 = 23452944207
BaseRepresentation
bin111101111001010…
…001000110011110
32200100222022210000
4331321101012132
54111314004210
6251012555130
734506305433
oct7571210636
92610868700
101038422430
11493187161
1224b922aa6
131371a0956
149bcadb8a
1561270ac0
hex3de5119e

1038422430 has 80 divisors (see below), whose sum is σ = 2888550720. Its totient is φ = 267357888.

The previous prime is 1038422417. The next prime is 1038422443. The reversal of 1038422430 is 342248301.

It is an interprime number because it is at equal distance from previous prime (1038422417) and next prime (1038422443).

It is a super-2 number, since 2×10384224302 = 2156642286254209800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1038422394 and 1038422403.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1387 + ... + 45593.

It is an arithmetic number, because the mean of its divisors is an integer number (36106884).

Almost surely, 21038422430 is an apocalyptic number.

1038422430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038422430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444275360).

1038422430 is an abundant number, since it is smaller than the sum of its proper divisors (1850128290).

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

1038422430 is a wasteful number, since it uses less digits than its factorization.

1038422430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44255 (or 44246 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1038422430 is about 32224.5625261228. The cubic root of 1038422430 is about 1012.6468593560.

The spelling of 1038422430 in words is "one billion, thirty-eight million, four hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 11745 23490 44207 88414 132621 221035 265242 397863 442070 663105 795726 1193589 1282003 1326210 1989315 2387178 2564006 3580767 3846009 3978630 5967945 6410015 7161534 7692018 11538027 11935890 12820030 17903835 19230045 23076054 34614081 35807670 38460090 57690135 69228162 103842243 115380270 173070405 207684486 346140810 519211215 1038422430