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154042434 = 232713157599
BaseRepresentation
bin10010010111010…
…00000001000010
3101201212011111100
421023220001002
5303413324214
623141355230
73550224210
oct1113500102
9351764440
10154042434
1179a533a7
1243708b16
1325bb5b90
141665bcb0
15d7cc309
hex92e8042

154042434 has 96 divisors (see below), whose sum is σ = 414086400. Its totient is φ = 40300416.

The previous prime is 154042429. The next prime is 154042463. The reversal of 154042434 is 434240451.

It is a happy number.

154042434 is a `hidden beast` number, since 15 + 404 + 243 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 154042398 and 154042407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256867 + ... + 257465.

It is an arithmetic number, because the mean of its divisors is an integer number (4313400).

Almost surely, 2154042434 is an apocalyptic number.

154042434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 154042434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207043200).

154042434 is an abundant number, since it is smaller than the sum of its proper divisors (260043966).

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

154042434 is a wasteful number, since it uses less digits than its factorization.

154042434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 154042434 is about 12411.3832428138. The cubic root of 154042434 is about 536.0600683590.

Adding to 154042434 its reverse (434240451), we get a palindrome (588282885).

The spelling of 154042434 in words is "one hundred fifty-four million, forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 157 182 234 273 314 471 546 599 819 942 1099 1198 1413 1638 1797 2041 2198 2826 3297 3594 4082 4193 5391 6123 6594 7787 8386 9891 10782 12246 12579 14287 15574 18369 19782 23361 25158 28574 36738 37737 42861 46722 54509 70083 75474 85722 94043 109018 128583 140166 163527 188086 257166 282129 327054 490581 564258 658301 846387 981162 1222559 1316602 1692774 1974903 2445118 3667677 3949806 5924709 7335354 8557913 11003031 11849418 17115826 22006062 25673739 51347478 77021217 154042434