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38093430 = 23517113661
BaseRepresentation
bin1001000101010…
…0001001110110
32122200100100210
42101110021312
534222442210
63440250250
7641534364
oct221241166
978610323
1038093430
111a559181
1210910986
137b79abb
1450b8634
153526e20
hex2454276

38093430 has 64 divisors (see below), whose sum is σ = 97806528. Its totient is φ = 9461760.

The previous prime is 38093401. The next prime is 38093437. The reversal of 38093430 is 3439083.

It is a happy number.

It is a super-2 number, since 2×380934302 = 2902218818329800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38093437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57300 + ... + 57960.

It is an arithmetic number, because the mean of its divisors is an integer number (1528227).

Almost surely, 238093430 is an apocalyptic number.

38093430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38093430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48903264).

38093430 is an abundant number, since it is smaller than the sum of its proper divisors (59713098).

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

38093430 is a wasteful number, since it uses less digits than its factorization.

38093430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 38093430 is about 6171.9875242907. The cubic root of 38093430 is about 336.4728496987.

The spelling of 38093430 in words is "thirty-eight million, ninety-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 113 170 226 255 339 510 565 661 678 1130 1322 1695 1921 1983 3305 3390 3842 3966 5763 6610 9605 9915 11237 11526 19210 19830 22474 28815 33711 56185 57630 67422 74693 112370 149386 168555 224079 337110 373465 448158 746930 1120395 1269781 2240790 2539562 3809343 6348905 7618686 12697810 19046715 38093430