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3802280352 = 2531311232713
BaseRepresentation
bin1110001010100010…
…0011000110100000
3100210222122212002020
43202220203012200
530241340432402
61425144021440
7163136564313
oct34250430640
910728585066
103802280352
111681319562
128a1461880
13487985340
14280da697a
15173c1b8bc
hexe2a231a0

3802280352 has 96 divisors (see below), whose sum is σ = 10762291008. Its totient is φ = 1168459776.

The previous prime is 3802280341. The next prime is 3802280359. The reversal of 3802280352 is 2530822083.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3802280359) 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, 1400148 + ... + 1402860.

It is an arithmetic number, because the mean of its divisors is an integer number (112107198).

Almost surely, 23802280352 is an apocalyptic number.

3802280352 is a gapful number since it is divisible by the number (32) 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 3802280352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381145504).

3802280352 is an abundant number, since it is smaller than the sum of its proper divisors (6960010656).

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

3802280352 is a wasteful number, since it uses less digits than its factorization.

3802280352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3802280352 is about 61662.6333527851. The cubic root of 3802280352 is about 1560.8028346235.

The spelling of 3802280352 in words is "three billion, eight hundred two million, two hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1123 1248 2246 2713 3369 4492 5426 6738 8139 8984 10852 13476 14599 16278 17968 21704 26952 29198 32556 35269 35936 43408 43797 53904 58396 65112 70538 86816 87594 105807 107808 116792 130224 141076 175188 211614 233584 260448 282152 350376 423228 467168 564304 700752 846456 1128608 1401504 1692912 3046699 3385824 6093398 9140097 12186796 18280194 24373592 36560388 39607087 48747184 73120776 79214174 97494368 118821261 146241552 158428348 237642522 292483104 316856696 475285044 633713392 950570088 1267426784 1901140176 3802280352