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2993430 = 2351147193
BaseRepresentation
bin1011011010110100010110
312122002012210
423122310112
51231242210
6144054250
734305126
oct13326426
95562183
102993430
111765010
121004386
1380a67b
1457cc86
153e1e20
hex2dad16

2993430 has 64 divisors (see below), whose sum is σ = 8045568. Its totient is φ = 706560.

The previous prime is 2993423. The next prime is 2993437. The reversal of 2993430 is 343992.

2993430 = T76 + T77 + ... + T263.

It is an interprime number because it is at equal distance from previous prime (2993423) and next prime (2993437).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15414 + ... + 15606.

It is an arithmetic number, because the mean of its divisors is an integer number (125712).

22993430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022784).

2993430 is an abundant number, since it is smaller than the sum of its proper divisors (5052138).

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

2993430 is a wasteful number, since it uses less digits than its factorization.

2993430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 2993430 is about 1730.1531724099. The cubic root of 2993430 is about 144.1195958610.

The spelling of 2993430 in words is "two million, nine hundred ninety-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 193 235 282 330 386 470 517 579 705 965 1034 1158 1410 1551 1930 2123 2585 2895 3102 4246 5170 5790 6369 7755 9071 10615 12738 15510 18142 21230 27213 31845 45355 54426 63690 90710 99781 136065 199562 272130 299343 498905 598686 997810 1496715 2993430