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38372340 = 223543107139
BaseRepresentation
bin1001001001100…
…0001111110100
32200012111221210
42102120033310
534310403330
63450241420
7644105466
oct222301764
980174853
1038372340
111a729786
1210a26270
137c46a36
14514c136
15357e8b0
hex24983f4

38372340 has 96 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 9830016.

The previous prime is 38372333. The next prime is 38372353. The reversal of 38372340 is 4327383.

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

It is a junction number, because it is equal to n+sod(n) for n = 38372298 and 38372307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275991 + ... + 276129.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 238372340 is an apocalyptic number.

38372340 is a gapful number since it is divisible by the number (30) 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 38372340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

38372340 is an abundant number, since it is smaller than the sum of its proper divisors (73394700).

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

38372340 is a wasteful number, since it uses less digits than its factorization.

38372340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 38372340 is about 6194.5411452342. The cubic root of 38372340 is about 337.2920419845.

The spelling of 38372340 in words is "thirty-eight million, three hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 107 129 139 172 214 215 258 278 321 417 428 430 516 535 556 642 645 695 834 860 1070 1284 1290 1390 1605 1668 2085 2140 2580 2780 3210 4170 4601 5977 6420 8340 9202 11954 13803 14873 17931 18404 23005 23908 27606 29746 29885 35862 44619 46010 55212 59492 59770 69015 71724 74365 89238 89655 92020 119540 138030 148730 178476 179310 223095 276060 297460 358620 446190 639539 892380 1279078 1918617 2558156 3197695 3837234 6395390 7674468 9593085 12790780 19186170 38372340