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34454132010 = 23251487257447
BaseRepresentation
bin100000000101101000…
…000101010100101010
310021221011112020211100
4200011220011110222
51031030224211020
623454503342230
72326543201314
oct400550052452
9107834466740
1034454132010
1113680506371
126816751976
1333310cc17c
14194bc147b4
15d69ba6a90
hex805a0552a

34454132010 has 48 divisors (see below), whose sum is σ = 89641334016. Its totient is φ = 9181554144.

The previous prime is 34454131961. The next prime is 34454132021. The reversal of 34454132010 is 1023145443.

It is a happy number.

34454132010 is a `hidden beast` number, since 3 + 4 + 45 + 413 + 201 + 0 = 666.

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, 5107 + ... + 262553.

It is an arithmetic number, because the mean of its divisors is an integer number (1867527792).

Almost surely, 234454132010 is an apocalyptic number.

34454132010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34454132010 is an abundant number, since it is smaller than the sum of its proper divisors (55187202006).

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

34454132010 is a wasteful number, since it uses less digits than its factorization.

34454132010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258947 (or 258944 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34454132010 its reverse (1023145443), we get a palindrome (35477277453).

It can be divided in two parts, 34454 and 132010, that added together give a square (166464 = 4082).

The spelling of 34454132010 in words is "thirty-four billion, four hundred fifty-four million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1487 2974 4461 7435 8922 13383 14870 22305 26766 44610 66915 133830 257447 514894 772341 1287235 1544682 2317023 2574470 3861705 4634046 7723410 11585115 23170230 382823689 765647378 1148471067 1914118445 2296942134 3445413201 3828236890 5742355335 6890826402 11484710670 17227066005 34454132010