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38401374 = 2311311372
BaseRepresentation
bin1001001001111…
…1010101011110
32200020222210010
42102133111132
534312320444
63451024050
7644256234
oct222372536
980228703
1038401374
111a749580
1210a3b026
137c5700b
145158954
1535882b9
hex249f55e

38401374 has 48 divisors (see below), whose sum is σ = 87123456. Its totient is φ = 11179200.

The previous prime is 38401373. The next prime is 38401381. The reversal of 38401374 is 47310483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280234 + ... + 280370.

It is an arithmetic number, because the mean of its divisors is an integer number (1815072).

Almost surely, 238401374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38401374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43561728).

38401374 is an abundant number, since it is smaller than the sum of its proper divisors (48722082).

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

38401374 is a wasteful number, since it uses less digits than its factorization.

38401374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 38401374 is about 6196.8842170885. The cubic root of 38401374 is about 337.3770899494.

The spelling of 38401374 in words is "thirty-eight million, four hundred one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 137 186 274 341 411 682 822 1023 1507 2046 3014 4247 4521 8494 9042 12741 18769 25482 37538 46717 56307 93434 112614 140151 206459 280302 412918 581839 619377 1163678 1238754 1745517 3491034 6400229 12800458 19200687 38401374