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3419899938 = 2327138923459
BaseRepresentation
bin1100101111010111…
…1000100000100010
322211100010220202200
43023311320200202
524000443244223
61323204154030
7150514445520
oct31365704042
98740126680
103419899938
1114a5498494
127b5398916
134266a2840
142462ab310
15150388a43
hexcbd78822

3419899938 has 96 divisors (see below), whose sum is σ = 9222595200. Its totient is φ = 891779328.

The previous prime is 3419899933. The next prime is 3419899949. The reversal of 3419899938 is 8399989143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3419899933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134053 + ... + 157511.

It is an arithmetic number, because the mean of its divisors is an integer number (96068700).

Almost surely, 23419899938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419899938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611297600).

3419899938 is an abundant number, since it is smaller than the sum of its proper divisors (5802695262).

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

3419899938 is a wasteful number, since it uses less digits than its factorization.

3419899938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23576 (or 23573 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The square root of 3419899938 is about 58479.9105505472. The cubic root of 3419899938 is about 1506.6225607624.

The spelling of 3419899938 in words is "three billion, four hundred nineteen million, eight hundred ninety-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 89 91 117 126 178 182 234 267 273 534 546 623 801 819 1157 1246 1602 1638 1869 2314 3471 3738 5607 6942 8099 10413 11214 16198 20826 23459 24297 46918 48594 70377 72891 140754 145782 164213 211131 304967 328426 422262 492639 609934 914901 985278 1477917 1829802 2087851 2134769 2744703 2955834 4175702 4269538 5489406 6263553 6404307 12527106 12808614 14614957 18790659 19212921 27142063 29229914 37581318 38425842 43844871 54284126 81426189 87689742 131534613 162852378 189994441 244278567 263069226 379988882 488557134 569983323 1139966646 1709949969 3419899938