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34214431300 = 2252726982537
BaseRepresentation
bin11111110111010101…
…101100101001000100
310021022110111012021021
4133313111230221010
51030032343300200
623415022000524
72320602603400
oct376725545104
9107273435237
1034214431300
1113568177705
12676a416144
1332c355462a
14192805a100
15d53b0941a
hex7f756ca44

34214431300 has 54 divisors (see below), whose sum is σ = 86367012522. Its totient is φ = 11730660480.

The previous prime is 34214431297. The next prime is 34214431327. The reversal of 34214431300 is 313441243.

It can be written as a sum of positive squares in 3 ways, for example, as 8329482756 + 25884948544 = 91266^2 + 160888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3486369 + ... + 3496168.

Almost surely, 234214431300 is an apocalyptic number.

It is an amenable number.

34214431300 is an abundant number, since it is smaller than the sum of its proper divisors (52152581222).

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

34214431300 is a wasteful number, since it uses less digits than its factorization.

34214431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982565 (or 6982551 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34214431300 its reverse (313441243), we get a palindrome (34527872543).

The spelling of 34214431300 in words is "thirty-four billion, two hundred fourteen million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 6982537 13965074 27930148 34912685 48877759 69825370 97755518 139650740 174563425 195511036 244388795 342144313 349126850 488777590 684288626 698253700 977555180 1221943975 1368577252 1710721565 2443887950 3421443130 4887775900 6842886260 8553607825 17107215650 34214431300