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1030741374 = 231319292827
BaseRepresentation
bin111101011011111…
…101110101111110
32122211112002100110
4331123331311332
54102332210444
6250140210450
734354104615
oct7533756576
92584462313
101030741374
11489910283
12249239a26
13135711750
149ac7087c
1560754cb9
hex3d6fdd7e

1030741374 has 96 divisors (see below), whose sum is σ = 2423191680. Its totient is φ = 289747584.

The previous prime is 1030741373. The next prime is 1030741409. The reversal of 1030741374 is 4731470301.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030741373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1245949 + ... + 1246775.

It is an arithmetic number, because the mean of its divisors is an integer number (25241580).

Almost surely, 21030741374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030741374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211595840).

1030741374 is an abundant number, since it is smaller than the sum of its proper divisors (1392450306).

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

1030741374 is a wasteful number, since it uses less digits than its factorization.

1030741374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1030741374 is about 32105.1611738674. The cubic root of 1030741374 is about 1010.1438784671.

It can be divided in two parts, 10307 and 41374, that added together give a triangular number (51681 = T321).

The spelling of 1030741374 in words is "one billion, thirty million, seven hundred forty-one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 13 19 26 29 38 39 57 58 78 87 114 174 247 377 494 551 741 754 827 841 1102 1131 1482 1653 1654 1682 2262 2481 2523 3306 4962 5046 7163 10751 10933 14326 15713 15979 21489 21502 21866 23983 31426 31958 32253 32799 42978 47139 47937 47966 64506 65598 71949 94278 95874 143898 204269 207727 311779 408538 415454 455677 612807 623181 623558 695507 911354 935337 1225614 1246362 1367031 1391014 1870674 2086521 2734062 4173042 5923801 9041591 11847602 13214633 17771403 18083182 26429266 27124773 35542806 39643899 54249546 79287798 171790229 343580458 515370687 1030741374