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1001380352 = 297319013
BaseRepresentation
bin111011101011111…
…101101000000000
32120210021101121012
4323223331220000
54022323132402
6243211020052
733546410150
oct7353755000
92523241535
101001380352
11474286975
1223b43a628
1312c60156b
1496dca760
155cda5452
hex3bafda00

1001380352 has 80 divisors (see below), whose sum is σ = 2360658432. Its totient is φ = 415272960.

The previous prime is 1001380337. The next prime is 1001380361. The reversal of 1001380352 is 2530831001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106598 + ... + 115610.

Almost surely, 21001380352 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 1001380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180329216).

1001380352 is an abundant number, since it is smaller than the sum of its proper divisors (1359278080).

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

1001380352 is an frugal number, since it uses more digits than its factorization.

1001380352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1001380352 is about 31644.5943566986. The cubic root of 1001380352 is about 1000.4599057876.

The spelling of 1001380352 in words is "one billion, one million, three hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1736 1792 1984 3472 3584 3968 6944 7936 9013 13888 15872 18026 27776 36052 55552 63091 72104 111104 126182 144208 252364 279403 288416 504728 558806 576832 1009456 1117612 1153664 1955821 2018912 2235224 2307328 3911642 4037824 4470448 4614656 7823284 8075648 8940896 15646568 16151296 17881792 31293136 32302592 35763584 62586272 71527168 125172544 143054336 250345088 500690176 1001380352