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34540145400 = 23352429713397
BaseRepresentation
bin100000001010110000…
…001100101011111000
310022011011101012000110
4200022300030223320
51031214234123100
623511215104320
72331636251235
oct401260145370
9108134335013
1034540145400
1113715014512
12683b5120a0
133345b86677
14195940478c
15d724e7250
hex80ac0caf8

34540145400 has 96 divisors (see below), whose sum is σ = 107107363440. Its totient is φ = 9207874560.

The previous prime is 34540145399. The next prime is 34540145401. The reversal of 34540145400 is 454104543.

It is an interprime number because it is at equal distance from previous prime (34540145399) and next prime (34540145401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34540145401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2571502 + ... + 2584898.

Almost surely, 234540145400 is an apocalyptic number.

34540145400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34540145400 is an abundant number, since it is smaller than the sum of its proper divisors (72567218040).

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

34540145400 is a wasteful number, since it uses less digits than its factorization.

34540145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17713 (or 17704 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 34540145400 its reverse (454104543), we get a palindrome (34994249943).

The spelling of 34540145400 in words is "thirty-four billion, five hundred forty million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 4297 8594 12891 13397 17188 21485 25782 26794 34376 40191 42970 51564 53588 64455 66985 80382 85940 103128 107176 107425 128910 133970 160764 171880 200955 214850 257820 267940 321528 322275 334925 401910 429700 515640 535880 644550 669850 803820 859400 1004775 1289100 1339700 1607640 2009550 2578200 2679400 4019100 8038200 57566909 115133818 172700727 230267636 287834545 345401454 460535272 575669090 690802908 863503635 1151338180 1381605816 1439172725 1727007270 2302676360 2878345450 3454014540 4317518175 5756690900 6908029080 8635036350 11513381800 17270072700 34540145400