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104434944 = 2831719421
BaseRepresentation
bin1100011100110…
…00110100000000
321021111211210220
412032120310000
5203213404234
614210223040
72405453025
oct616306400
9237454726
10104434944
1153a50579
122ab84a80
1318837333
14dc2754c
15927da49
hex6398d00

104434944 has 144 divisors (see below), whose sum is σ = 310524480. Its totient is φ = 30965760.

The previous prime is 104434907. The next prime is 104434949. The reversal of 104434944 is 449434401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104434949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247854 + ... + 248274.

It is an arithmetic number, because the mean of its divisors is an integer number (2156420).

Almost surely, 2104434944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155262240).

104434944 is an abundant number, since it is smaller than the sum of its proper divisors (206089536).

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

104434944 is a wasteful number, since it uses less digits than its factorization.

104434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 104434944 is about 10219.3416617706. The cubic root of 104434944 is about 470.9216019819.

The spelling of 104434944 in words is "one hundred four million, four hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 256 272 304 323 384 408 421 456 544 608 646 768 816 842 912 969 1088 1216 1263 1292 1632 1684 1824 1938 2176 2432 2526 2584 3264 3368 3648 3876 4352 4864 5052 5168 6528 6736 7157 7296 7752 7999 10104 10336 13056 13472 14314 14592 15504 15998 20208 20672 21471 23997 26944 28628 31008 31996 40416 41344 42942 47994 53888 57256 62016 63992 80832 82688 85884 95988 107776 114512 124032 127984 135983 161664 171768 191976 229024 248064 255968 271966 323328 343536 383952 407949 458048 511936 543932 687072 767904 815898 916096 1023872 1087864 1374144 1535808 1631796 1832192 2047744 2175728 2748288 3071616 3263592 4351456 5496576 6143232 6527184 8702912 13054368 17405824 26108736 34811648 52217472 104434944