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10034480 = 245432917
BaseRepresentation
bin100110010001…
…110100110000
3200212210201102
4212101310300
510032100410
6555023532
7151202021
oct46216460
920783642
1010034480
115734065
12343aba8
132104481
141492c48
15d332a5
hex991d30

10034480 has 40 divisors (see below), whose sum is σ = 23880912. Its totient is φ = 3919104.

The previous prime is 10034449. The next prime is 10034491. The reversal of 10034480 is 8443001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1982 + ... + 4898.

Almost surely, 210034480 is an apocalyptic number.

10034480 is a gapful number since it is divisible by the number (10) 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 10034480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940456).

10034480 is an abundant number, since it is smaller than the sum of its proper divisors (13846432).

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

10034480 is a wasteful number, since it uses less digits than its factorization.

10034480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2967 counting only the distinct ones).

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

The square root of 10034480 is about 3167.7247355160. The cubic root of 10034480 is about 215.6908013137.

Adding to 10034480 its reverse (8443001), we get a palindrome (18477481).

The spelling of 10034480 in words is "ten million, thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2917 3440 5834 11668 14585 23336 29170 46672 58340 116680 125431 233360 250862 501724 627155 1003448 1254310 2006896 2508620 5017240 10034480