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144934740 = 223253532281
BaseRepresentation
bin10001010001110…
…00011101010100
3101002201110002100
420220320131110
5244100402430
622214242100
73406632156
oct1050703524
9332643070
10144934740
11748a2685
1240656330
1324047502
141536aad6
15cacd960
hex8a38754

144934740 has 72 divisors (see below), whose sum is σ = 441074088. Its totient is φ = 38522880.

The previous prime is 144934709. The next prime is 144934759. The reversal of 144934740 is 47439441.

It can be written as a sum of positive squares in 4 ways, for example, as 14837904 + 130096836 = 3852^2 + 11406^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144934695 and 144934704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62400 + ... + 64680.

It is an arithmetic number, because the mean of its divisors is an integer number (6126029).

Almost surely, 2144934740 is an apocalyptic number.

144934740 is a gapful number since it is divisible by the number (10) 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 144934740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220537044).

144934740 is an abundant number, since it is smaller than the sum of its proper divisors (296139348).

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

144934740 is a wasteful number, since it uses less digits than its factorization.

144934740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 144934740 is about 12038.8844998197. The cubic root of 144934740 is about 525.2799595268.

The spelling of 144934740 in words is "one hundred forty-four million, nine hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 2281 3177 3530 4236 4562 5295 6354 6843 7060 9124 10590 11405 12708 13686 15885 20529 21180 22810 27372 31770 34215 41058 45620 63540 68430 82116 102645 136860 205290 410580 805193 1610386 2415579 3220772 4025965 4831158 7246737 8051930 9662316 12077895 14493474 16103860 24155790 28986948 36233685 48311580 72467370 144934740