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1030202304 = 26359199457
BaseRepresentation
bin111101011001111…
…010001111000000
32122210111200212220
4331121322033000
54102212433204
6250120451040
734346401155
oct7531721700
92583450786
101030202304
1148958226a
12249019a80
13135583281
149ab7022c
156069a1d9
hex3d67a3c0

1030202304 has 112 divisors (see below), whose sum is σ = 2791968000. Its totient is φ = 335149056.

The previous prime is 1030202291. The next prime is 1030202309. The reversal of 1030202304 is 4032020301.

It is a super-2 number, since 2×10302023042 = 2122633574333816832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030202309) 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, 2254044 + ... + 2254500.

Almost surely, 21030202304 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 1030202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395984000).

1030202304 is an abundant number, since it is smaller than the sum of its proper divisors (1761765696).

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

1030202304 is a wasteful number, since it uses less digits than its factorization.

1030202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1030202304 is about 32096.7646967728. The cubic root of 1030202304 is about 1009.9677485372.

Adding to 1030202304 its reverse (4032020301), we get a palindrome (5062222605).

The spelling of 1030202304 in words is "one billion, thirty million, two hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 199 236 354 398 457 472 597 708 796 914 944 1194 1371 1416 1592 1828 1888 2388 2742 2832 3184 3656 3776 4776 5484 5664 6368 7312 9552 10968 11328 11741 12736 14624 19104 21936 23482 26963 29248 35223 38208 43872 46964 53926 70446 80889 87744 90943 93928 107852 140892 161778 181886 187856 215704 272829 281784 323556 363772 375712 431408 545658 563568 647112 727544 751424 862816 1091316 1127136 1294224 1455088 1725632 2182632 2254272 2588448 2910176 4365264 5176896 5365637 5820352 8730528 10731274 16096911 17461056 21462548 32193822 42925096 64387644 85850192 128775288 171700384 257550576 343400768 515101152 1030202304