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3004002240 = 26353129169
BaseRepresentation
bin1011001100001101…
…0110111111000000
321202100120010101020
42303003112333000
522123011032430
61214030105440
7134304412011
oct26303267700
97670503336
103004002240
111301754388
126ba04b280
1338b486125
14206d69008
15128ad4b10
hexb30d6fc0

3004002240 has 56 divisors (see below), whose sum is σ = 9537710160. Its totient is φ = 801067008.

The previous prime is 3004002223. The next prime is 3004002257. The reversal of 3004002240 is 422004003.

It is a happy number.

3004002240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3004002223) and next prime (3004002257).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1563625 + ... + 1565544.

Almost surely, 23004002240 is an apocalyptic number.

3004002240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3004002240 is an abundant number, since it is smaller than the sum of its proper divisors (6533707920).

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

3004002240 is a wasteful number, since it uses less digits than its factorization.

3004002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129189 (or 3129179 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3004002240 is about 54808.7788588653. The cubic root of 3004002240 is about 1442.8906440796.

Adding to 3004002240 its reverse (422004003), we get a palindrome (3426006243).

The spelling of 3004002240 in words is "three billion, four million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3129169 6258338 9387507 12516676 15645845 18775014 25033352 31291690 37550028 46937535 50066704 62583380 75100056 93875070 100133408 125166760 150200112 187750140 200266816 250333520 300400224 375500280 500667040 600800448 751000560 1001334080 1502001120 3004002240