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122434004 = 227113112823
BaseRepresentation
bin1110100110000…
…11000111010100
322112101021212202
413103003013110
5222320342004
620052104032
73014446310
oct723030724
9275337782
10122434004
1163124530
1235005018
131c499a74
1412390b40
15ab36b1e
hex74c31d4

122434004 has 48 divisors (see below), whose sum is σ = 275767296. Its totient is φ = 46159200.

The previous prime is 122433979. The next prime is 122434021. The reversal of 122434004 is 400434221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3137 + ... + 15959.

It is an arithmetic number, because the mean of its divisors is an integer number (5745152).

Almost surely, 2122434004 is an apocalyptic number.

122434004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137883648).

122434004 is an abundant number, since it is smaller than the sum of its proper divisors (153333292).

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

122434004 is a wasteful number, since it uses less digits than its factorization.

122434004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876 (or 12874 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 122434004 is about 11064.9900135518. The cubic root of 122434004 is about 496.5549903310.

Adding to 122434004 its reverse (400434221), we get a palindrome (522868225).

The spelling of 122434004 in words is "one hundred twenty-two million, four hundred thirty-four thousand, four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1364 2387 4774 9548 12823 25646 51292 89761 141053 179522 282106 359044 397513 564212 795026 987371 1590052 1974742 2782591 3949484 4372643 5565182 8745286 11130364 17490572 30608501 61217002 122434004