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38014004 = 2273103269
BaseRepresentation
bin1001000100000…
…0110000110100
32122112022102002
42101000300310
534212422004
63434434432
7641054000
oct221006064
978468362
1038014004
111a504536
1210892a18
137b4c8c2
145097700
15350d61e
hex2440c34

38014004 has 48 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 16073568.

The previous prime is 38013959. The next prime is 38014013. The reversal of 38014004 is 40041083.

It is a super-2 number, since 2×380140042 = 2890129000224032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141182 + ... + 141450.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 238014004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38014004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

38014004 is an abundant number, since it is smaller than the sum of its proper divisors (40609996).

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

38014004 is a wasteful number, since it uses less digits than its factorization.

38014004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 38014004 is about 6165.5497727291. The cubic root of 38014004 is about 336.2388348213.

Adding to 38014004 its reverse (40041083), we get a palindrome (78055087).

The spelling of 38014004 in words is "thirty-eight million, fourteen thousand, four".

Divisors: 1 2 4 7 14 28 49 98 103 196 206 269 343 412 538 686 721 1076 1372 1442 1883 2884 3766 5047 7532 10094 13181 20188 26362 27707 35329 52724 55414 70658 92267 110828 141316 184534 193949 369068 387898 775796 1357643 2715286 5430572 9503501 19007002 38014004