Search a number
-
+
34149888 = 29327411
BaseRepresentation
bin1000001001000…
…1011000000000
32101020222211200
42002101120000
532220244023
63215541200
7563161233
oct202213000
971228750
1034149888
1118305353
12b52a800
1370c8b46
14476d41a
152ee8743
hex2091600

34149888 has 60 divisors (see below), whose sum is σ = 98572188. Its totient is φ = 11381760.

The previous prime is 34149887. The next prime is 34149943. The reversal of 34149888 is 88894143.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34149881) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 903 + ... + 8313.

Almost surely, 234149888 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 34149888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49286094).

34149888 is an abundant number, since it is smaller than the sum of its proper divisors (64422300).

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

34149888 is an equidigital number, since it uses as much as digits as its factorization.

34149888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7435 (or 7416 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 34149888 is about 5843.7905506614. The cubic root of 34149888 is about 324.4365400519.

The spelling of 34149888 in words is "thirty-four million, one hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 7411 14822 22233 29644 44466 59288 66699 88932 118576 133398 177864 237152 266796 355728 474304 533592 711456 948608 1067184 1422912 1897216 2134368 2845824 3794432 4268736 5691648 8537472 11383296 17074944 34149888