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2039395344 = 243717557641
BaseRepresentation
bin111100110001110…
…1011010000010000
312021010111000110220
41321203223100100
513134041122334
6534211153040
7101352401010
oct17143532020
95233430426
102039395344
119572049a8
1248aba5780
1326668b90c
14154bd1c40
15be095449
hex798eb410

2039395344 has 160 divisors (see below), whose sum is σ = 6396662016. Its totient is φ = 546570240.

The previous prime is 2039395301. The next prime is 2039395367. The reversal of 2039395344 is 4435939302.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2039395296 and 2039395305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3181264 + ... + 3181904.

Almost surely, 22039395344 is an apocalyptic number.

2039395344 is a gapful number since it is divisible by the number (24) 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 2039395344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198331008).

2039395344 is an abundant number, since it is smaller than the sum of its proper divisors (4357266672).

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

2039395344 is a wasteful number, since it uses less digits than its factorization.

2039395344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 2039395344 is about 45159.6650120437. The cubic root of 2039395344 is about 1268.1398240989.

The spelling of 2039395344 in words is "two billion, thirty-nine million, three hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 557 641 714 816 952 1114 1282 1428 1671 1904 1923 2228 2564 2856 3342 3846 3899 4456 4487 5128 5712 6684 7692 7798 8912 8974 9469 10256 10897 11697 13368 13461 15384 15596 17948 18938 21794 23394 26736 26922 28407 30768 31192 32691 35896 37876 43588 46788 53844 56814 62384 65382 66283 71792 75752 76279 87176 93576 107688 113628 130764 132566 151504 152558 174352 187152 198849 215376 227256 228837 261528 265132 305116 357037 397698 454512 457674 523056 530264 610232 714074 795396 915348 1060528 1071111 1220464 1428148 1590792 1830696 2142222 2499259 2856296 3181584 3661392 4284444 4998518 5712592 6069629 7497777 8568888 9997036 12139258 14995554 17137776 18208887 19994072 24278516 29991108 36417774 39988144 42487403 48557032 59982216 72835548 84974806 97114064 119964432 127462209 145671096 169949612 254924418 291342192 339899224 509848836 679798448 1019697672 2039395344