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3900034224 = 243340922073
BaseRepresentation
bin1110100001110101…
…1100110010110000
3101001210121021012000
43220131130302300
530441402043344
61442555134000
7165434513112
oct35035346260
911053537160
103900034224
111721516489
1290a144300
134a1cc0678
1428dd713b2
1517c5caa69
hexe875ccb0

3900034224 has 80 divisors (see below), whose sum is σ = 11222421600. Its totient is φ = 1296774144.

The previous prime is 3900034219. The next prime is 3900034241. The reversal of 3900034224 is 4224300093.

It is a happy number.

3900034224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 165652 + ... + 187724.

It is an arithmetic number, because the mean of its divisors is an integer number (140280270).

Almost surely, 23900034224 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 3900034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611210800).

3900034224 is an abundant number, since it is smaller than the sum of its proper divisors (7322387376).

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

3900034224 is a wasteful number, since it uses less digits than its factorization.

3900034224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22499 (or 22487 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3900034224 is about 62450.2539946796. The cubic root of 3900034224 is about 1574.0655209480.

The spelling of 3900034224 in words is "three billion, nine hundred million, thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 409 432 818 1227 1636 2454 3272 3681 4908 6544 7362 9816 11043 14724 19632 22073 22086 29448 44146 44172 58896 66219 88292 88344 132438 176584 176688 198657 264876 353168 397314 529752 595971 794628 1059504 1191942 1589256 2383884 3178512 4767768 9027857 9535536 18055714 27083571 36111428 54167142 72222856 81250713 108334284 144445712 162501426 216668568 243752139 325002852 433337136 487504278 650005704 975008556 1300011408 1950017112 3900034224