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1030413432 = 233237923629
BaseRepresentation
bin111101011010101…
…101110001111000
32122210220102111110
4331122231301320
54102241212212
6250125200320
734351240536
oct7532556170
92583812443
101030413432
11489706954
122491000a0
131356283b9
149abc7156
15606dca3c
hex3d6adc78

1030413432 has 64 divisors (see below), whose sum is σ = 2722176000. Its totient is φ = 324365184.

The previous prime is 1030413427. The next prime is 1030413437. The reversal of 1030413432 is 2343140301.

It is an interprime number because it is at equal distance from previous prime (1030413427) and next prime (1030413437).

It is a junction number, because it is equal to n+sod(n) for n = 1030413399 and 1030413408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030413437) 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, 31794 + ... + 55422.

It is an arithmetic number, because the mean of its divisors is an integer number (42534000).

Almost surely, 21030413432 is an apocalyptic number.

1030413432 is a gapful number since it is divisible by the number (12) 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 1030413432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361088000).

1030413432 is an abundant number, since it is smaller than the sum of its proper divisors (1691762568).

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

1030413432 is a wasteful number, since it uses less digits than its factorization.

1030413432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23740 (or 23736 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1030413432 is about 32100.0534578994. The cubic root of 1030413432 is about 1010.0367375455.

Adding to 1030413432 its reverse (2343140301), we get a palindrome (3373553733).

The spelling of 1030413432 in words is "one billion, thirty million, four hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 79 92 138 158 184 237 276 316 474 552 632 948 1817 1896 3634 5451 7268 10902 14536 21804 23629 43608 47258 70887 94516 141774 189032 283548 543467 567096 1086934 1630401 1866691 2173868 3260802 3733382 4347736 5600073 6521604 7466764 11200146 13043208 14933528 22400292 42933893 44800584 85867786 128801679 171735572 257603358 343471144 515206716 1030413432