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34012213020 = 223251391359401
BaseRepresentation
bin11111101011010010…
…010010111100011100
310020210100222102221100
4133223102102330130
51024124111304040
623342555433100
72312566016622
oct375322227434
9106710872840
1034012213020
111347400a065
126712755790
1332906a1746
14190925b512
15d40eb2b30
hex7eb492f1c

34012213020 has 72 divisors (see below), whose sum is σ = 103912688880. Its totient is φ = 9004665600.

The previous prime is 34012213013. The next prime is 34012213031. The reversal of 34012213020 is 2031221043.

34012213020 is a `hidden beast` number, since 340 + 1 + 2 + 21 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34012212984 and 34012213002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654681 + ... + 704720.

It is an arithmetic number, because the mean of its divisors is an integer number (1443231790).

Almost surely, 234012213020 is an apocalyptic number.

34012213020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34012213020 is an abundant number, since it is smaller than the sum of its proper divisors (69900475860).

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

34012213020 is a wasteful number, since it uses less digits than its factorization.

34012213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359555 (or 1359550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34012213020 its reverse (2031221043), we get a palindrome (36043434063).

The spelling of 34012213020 in words is "thirty-four billion, twelve million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2085 2502 2780 4170 5004 6255 8340 12510 25020 1359401 2718802 4078203 5437604 6797005 8156406 12234609 13594010 16312812 20391015 24469218 27188020 40782030 48938436 61173045 81564060 122346090 188956739 244692180 377913478 566870217 755826956 944783695 1133740434 1700610651 1889567390 2267480868 2834351085 3401221302 3779134780 5668702170 6802442604 8503053255 11337404340 17006106510 34012213020