Search a number
-
+
34345534040 = 2352977338303
BaseRepresentation
bin11111111111001001…
…110100001001011000
310021122121011220102022
4133333021310021120
51030314424042130
623440023554012
72324054136206
oct377711641130
9107577156368
1034345534040
1113625182084
1267a62bb908
13331476800c
14193b626076
15d603a47e5
hex7ff274258

34345534040 has 64 divisors (see below), whose sum is σ = 80047699200. Its totient is φ = 13246976512.

The previous prime is 34345534033. The next prime is 34345534057. The reversal of 34345534040 is 4043554343.

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, 877529 + ... + 915831.

It is an arithmetic number, because the mean of its divisors is an integer number (1250745300).

Almost surely, 234345534040 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 34345534040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40023849600).

34345534040 is an abundant number, since it is smaller than the sum of its proper divisors (45702165160).

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

34345534040 is a wasteful number, since it uses less digits than its factorization.

34345534040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39116 (or 39112 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

The spelling of 34345534040 in words is "thirty-four billion, three hundred forty-five million, five hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 773 1160 1546 3092 3865 6184 7730 15460 22417 30920 38303 44834 76606 89668 112085 153212 179336 191515 224170 306424 383030 448340 766060 896680 1110787 1532120 2221574 4443148 5553935 8886296 11107870 22215740 29608219 44431480 59216438 118432876 148041095 236865752 296082190 592164380 858638351 1184328760 1717276702 3434553404 4293191755 6869106808 8586383510 17172767020 34345534040