Search a number
-
+
34204530400 = 2552172515039
BaseRepresentation
bin11111110110101111…
…111011011011100000
310021021202212011210021
4133312233323123200
51030022324433100
623414025443224
72320422465655
oct376657733340
9107252764707
1034204530400
1113562624a47
126767040514
1332c1498c01
1419269ddc2c
15d52d00a1a
hex7f6bfb6e0

34204530400 has 72 divisors (see below), whose sum is σ = 88413716160. Its totient is φ = 12876994560.

The previous prime is 34204530359. The next prime is 34204530421. The reversal of 34204530400 is 403540243.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1243920 + ... + 1271119.

It is an arithmetic number, because the mean of its divisors is an integer number (1227968280).

Almost surely, 234204530400 is an apocalyptic number.

It is an amenable number.

34204530400 is an abundant number, since it is smaller than the sum of its proper divisors (54209185760).

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

34204530400 is a wasteful number, since it uses less digits than its factorization.

34204530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515076 (or 2515063 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The spelling of 34204530400 in words is "thirty-four billion, two hundred four million, five hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 2515039 5030078 10060156 12575195 20120312 25150390 40240624 42755663 50300780 62875975 80481248 85511326 100601560 125751950 171022652 201203120 213778315 251503900 342045304 402406240 427556630 503007800 684090608 855113260 1006015600 1068891575 1368181216 1710226520 2012031200 2137783150 3420453040 4275566300 6840906080 8551132600 17102265200 34204530400