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3010497424 = 24112292432
BaseRepresentation
bin1011001101110000…
…1000101110010000
321202210210010002121
42303130020232100
522131141404144
61214421224024
7134413543264
oct26334105620
97683703077
103010497424
111305390300
12700262014
1338c91b62c
14207b7a0a4
15129469384
hexb3708b90

3010497424 has 135 divisors (see below), whose sum is σ = 6798014769. Its totient is φ = 1290495360.

The previous prime is 3010497397. The next prime is 3010497473. The reversal of 3010497424 is 4247940103.

It is a happy number.

The square root of 3010497424 is 54868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1578631824 + 1431865600 = 39732^2 + 37840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3010497424.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70011547 + ... + 70011589.

Almost surely, 23010497424 is an apocalyptic number.

3010497424 is the 54868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3010497424

3010497424 is an abundant number, since it is smaller than the sum of its proper divisors (3787517345).

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

3010497424 is a wasteful number, since it uses less digits than its factorization.

3010497424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The cubic root of 3010497424 is about 1443.9298237088.

The spelling of 3010497424 in words is "three billion, ten million, four hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 43 44 58 86 88 116 121 172 176 232 242 319 344 464 473 484 638 688 841 946 968 1247 1276 1682 1849 1892 1936 2494 2552 3364 3509 3698 3784 4988 5104 5203 6728 7018 7396 7568 9251 9976 10406 13456 13717 14036 14792 18502 19952 20339 20812 27434 28072 29584 36163 37004 40678 41624 53621 54868 56144 72326 74008 81356 83248 101761 107242 109736 144652 148016 150887 162712 203522 214484 219472 223729 289304 301774 325424 397793 407044 428968 447458 578608 589831 603548 795586 814088 857936 894916 1179662 1207096 1555009 1591172 1628176 1789832 2359324 2414192 3110018 3182344 3579664 4375723 4718648 6220036 6364688 6488141 8751446 9437296 12440072 12976282 17105099 17502892 24880144 25952564 34210198 35005784 51905128 68420396 70011568 103810256 136840792 188156089 273681584 376312178 752624356 1505248712 3010497424