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3800267352 = 2332712496037
BaseRepresentation
bin1110001010000011…
…0111101001011000
3100210211212120202200
43202200313221120
530240332023402
61425032530200
7163113511440
oct34240675130
910724776680
103800267352
111680174122
128a0850960
1348742c00b
14280a01120
1517397021c
hexe2837a58

3800267352 has 96 divisors (see below), whose sum is σ = 11774100000. Its totient is φ = 1084741632.

The previous prime is 3800267293. The next prime is 3800267389. The reversal of 3800267352 is 2537620083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626478 + ... + 632514.

It is an arithmetic number, because the mean of its divisors is an integer number (122646875).

Almost surely, 23800267352 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 3800267352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887050000).

3800267352 is an abundant number, since it is smaller than the sum of its proper divisors (7973832648).

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

3800267352 is a wasteful number, since it uses less digits than its factorization.

3800267352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3800267352 is about 61646.3085026184. The cubic root of 3800267352 is about 1560.5273463692.

The spelling of 3800267352 in words is "three billion, eight hundred million, two hundred sixty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1249 2498 3747 4996 6037 7494 8743 9992 11241 12074 14988 17486 18111 22482 24148 26229 29976 34972 36222 42259 44964 48296 52458 54333 69944 72444 78687 84518 89928 104916 108666 126777 144888 157374 169036 209832 217332 253554 314748 338072 380331 434664 507108 629496 760662 1014216 1521324 3042648 7540213 15080426 22620639 30160852 45241278 52781491 60321704 67861917 90482556 105562982 135723834 158344473 180965112 211125964 271447668 316688946 422251928 475033419 542895336 633377892 950066838 1266755784 1900133676 3800267352